{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a9f2d01a",
   "metadata": {},
   "source": [
    "### 初始化环境"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "79c69773",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 在jupyter notebook里env.render看不到窗口\n",
    "# 写一个helper类，用matplotlib刷新显示图像\n",
    "# 初始化传入env，调用helper的render即可\n",
    "from IPython import display # 导入display模块，用于在Jupyter Notebook中显示图像\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt # 导入matplotlib库，用于绘制图像\n",
    "%matplotlib inline\n",
    "\n",
    "class GymHelper:\n",
    "    def __init__(self, env, figsize = (3, 3)):\n",
    "        self.env = env # 初始化Gym环境\n",
    "        self.figsize = figsize # 初始化绘图窗口大小\n",
    "        \n",
    "        plt.figure(figsize = figsize) # 创建绘图窗口\n",
    "        plt.title(self.env.spec.id) # 标题设为环境名\n",
    "        self.img = plt.imshow(env.render()) # 在绘图窗口中显示初始图像\n",
    "    \n",
    "    def render(self, title = None):\n",
    "        image_data = self.env.render() # 获取当前环境图像渲染数据\n",
    "        \n",
    "        self.img.set_data(image_data) # 更新绘图窗口中的图像数据\n",
    "        display.display(plt.gcf()) # 刷新显示\n",
    "        display.clear_output(wait = True) # 有新图片时再清除绘图窗口原有图像\n",
    "        if title: # 如果有标题，就显示标题\n",
    "            plt.title(title)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9eb8deb8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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O98nPWY4OVrua1kBoxHCguvtzEhlZWa5FOe6GmWksAP0MUuPdDwbG946lgKFmpp9ZcI5eu8VX/vQLHOqn3LxhuattuH1usON5H99wlAaaMwspn/zjj/KK172GUqWC5E9TxJI574mamN1NuadXO3zumSZ6YZm4BqWaIY6Fkgm4eQ5unQ+YL2kGmeNs22ujWolDKaiWFbfMB5yoBlS0IrGO1cTSH1jWu5a1rqXbtZRK/qFFgW8E/b7j6fUUFQo6hFLdkiVCX02fMlytHD2EbiZ0M0gtQ0t2KTfSBWq7PJzz075Qe6fGa1WOWzEzjUWJn0MbJ6z0AlZ6cEMdlisu16J4bU3S73Pu5OO899+8k7eakHosBBWwgSOIK9vOmw266DIcRaitd/h3/8s7+We/9PO85O47qZVLCNDsW+ZiixZY7xfaG4a9tQi4/D8AiSLiW26jfihBh47IapZNxF03+uNS61jtG/70dB+lYHFOc2gxIFLCvfUQJUJqHOup5eFWwspKhnL+ekr5XlMpONcynFxNUb6jplZRGONIEkdt2dAadoouXzi7q5bjuNz9tEzopPB0028/WDHMlRTlYHJfEb/IbyWGRiyEWhH69fo1IcfdMBONRYnjWD1lM1E0x5z9zrZgve84WMlYLIfUo4CPvPv9/Nb/8avDfW7/K5b6DQPWnzLc9ca/MaGbd9by6Ed+mVtODFg8rfjCH/rffuZHfoLv/qG/w1/5799GIw6Yzw1u1dBSDb3WaD539utnlkHTkhiIdvC4a5Th7htG3x9bTfjiBe/0t7QU8LL5kKPxyMoN8OhKwleaKQuLmuXlgHvrEe2u4dNnB1y6lA0XtVEkLC76Y9fXDYOBw1mht1nF5fEfpcCRBhaEq5ZjL7M4Z7ihnnKuFW6bMl3qBlzqTk5MliuGSjhSyW7m/lehkmtGjmqXUjIz0VjA9zq10FLSk2sPJb4fKty/u0nGQq3EW9/4Su4/2qC3/mme/kqfk2eO8qXLn+XN3/4ylpbrrFxu8eEPPkxv4yi3DS5x7IYF3vTjr2Hp3CZ/+JEvsNGHix2FI6MRB1TDAC1m6HzYTjLvlpE/lXER6sAxfyRFFdLLe8GPPNPDOgehsLjkg5UeWIiYD71v1CBzfORU18+AQqHe0EMN1EMXB/R6oxfx3npIbUHYSC2P9zPW1gxp6iiVhCgK2FyH7/mrd3H3lpX81cpxeG8ODlYzmn1NbyJoTMbu2ze0bqbYGIxemeVyRi9TZFauOTlOw8w0llgrdCgT2xJjKRxnC4PaiXvvob+xwcknHqG5ucENtQVqBw5wa2Oe9338EV7bv4MloN0f8PknzvGdb7iHSnyYZzsZZy+e5nKzz2u+49u44/57mS8ponwKoZQQaTVVfRooIRtbnYpAENvhvhsDy8OXBlzuGkpl4WhZc6TmRbsYKgIlrPcNT6ynXO5aymXhhrJmvqw508/odCy9nqURKF6+4DU7B2JFOVQYB62WJUkct8wFWKc5s6lQAg8s1zgRWxpi6eUcr1aO4/cSaUctMkR69JK1E40Z0wxF2tHO1yKCoxHboSOmyLUjx92W+LPTWILtKkmPyXDWO+67l/nFBf7jOx/ldC+hd3iBl92yxF1H5vjwl55G5VY1FWjKyxXuevlNPHNujpPPrPLYhTag+MHv+k6O33IjpUAYj7Yr5t9boZWQmcmHHEWKRiD0raNnHY9vZAShcLARcLwecGM58D5vfYtxcLGTcXIjIwyFw3MBB0qawEGaOtpti1JwoKa575C3A631DK3UsNYzdDpeBotlTasT0F1X3NmAOzQcCWwedeiHiauVI5Cvbfx9VcLC8u5hrJAUriz5/0IFkfZrkrnYECihHHINynE6Zqax+IQCo7moiFdNVqZIvfaS47zjF38BgF//V/8b7/vYl/hr3/oA//yHvw0RwRjLDQfn+Gd//9v4ytNN3vfxh5m//R7e8YvvBGC+FHh3jykGqCsZ5kQEHSqWlwNeOx9xqmc408+Gx93bCFkIvUuIc/CxUz16mR/2DywHWOe4dy7imbWUhy/7+bgC5hqaek3j8qQKf3amz3p/8gX//PkBg75lLijxzrv8wj3JoNmHzQFUo+cmx8zaYeTgVvhoxknMlwzzY9/rsb7m5LhbINjMNJanm17NWdJw+9Lu+2oRFst+mI20YuXCGp/4oy/wqSlqzsxaVi6tc+guNTxGyL1l08kXorSDt+7EPkePMBcdxDnDHz3ZJckcYSzMz/vjPv5snygUajWFAG+6tUKkvE9UYh3vPdnhg5czrB0Zyr55PibWghboZY73P9Gln21/akm3hEkCdATrPdjM49BrESyUILHPX47grfyddGcnxVqkJ0ata1GOuwWBzUxjqUWGsvVBSE83NTc2ZOpQDr5XctbyH3/23/Ek/5X0WwecdZf5zk8azrQi+kZR1pYb6gnve70mI+WJwUP8x5/9d/zd/+nHEKWItKBH5RDpZdYnZcgXwNVQT0QCDqE1FsXFMxqne9y2GFKvKs4XYbNlH+SkRbi9GlAL/edLHcMjlxOMBQMcbwTcshAQx4pqvs9aYniqk9Gb8oAB5hYNaV+gG/gpFLBUFpbK0Fp7fnIcv0MfpLXjIyJQo+jG0THXlhx3w8zkOi4FjlB7p7/1Pqz2vHFtKzJrGWQW5xyf+8SnWAodN992mNMLlpUTfdZe0mftth6rt/VZOdHn9Lzl5tsOsxg4Pv+nnxoa47wXrcLhNTTF9CUxPtXOIHdXT8xoCC8HllsqlpfVhPamwtrJXFQAcawIQ79+MM5xYWB4ejPlyWbK6VZGuSyUy8KBul+8Fvuc7WecG1guJ6PrhaEQx6MXrVyxxCVH38Cn1qFrIFSWOBgd81zlOA4f7qu3/U1fA3FNy3Hqve766zcY/Uxo5qrJsy0v/AMVJjxhU+Otx7XcxeFVcguuU+LPznX46P0Jqmr9WtPAYx3NyhMVXlm5HSs9zvAUxoHLn0pqHc3+9GnH5sDHhcda8kRuQiO2vGoRKkrx0CZoLTy1kRH1DIuLAbHyUyEH9C080kqxFjY3Df2+tz7PzWliJZRKimZq+XJ79CZb6zD5AlgpKJeFOFR0rGFgvPpVlKMrjt84C7dWfLhvL3VDjs9VjvE0N+Mp6KaWSii5N/Pki30tyXE3zERjERHCKUP1uZZ3nTixMNpWCpSP2bC+F/jTj3+Fg+Uy3+kivvNzKZX/LkIdEuwFR/d3U94XRTz2yGNc7PSwUcR6P0Xla5t+Jlzs7Bw5uFAyqNj3kCWtt3FcWgrodP2DDARetxDz4EZCc2z4X1nx8+px3NeIWEkMD7Umu/x+3w2dBBcXA4LAq0zffLjEJ9YHpNYRRZZSOeHZJ0d2gaHX8RSOV5Lj1WJ+zAPSOljvj2WOuYbkOPNexwWqoSVQKZe7AYU+Z3MAj604DlazLUo9x4++63/l//mVX+fCpz7HK6ziy67Mp99t2Ygc84nwmrUyS9LiQWU5/C2v4Yf/h7/DQjlCBHqpxTrLkdpI0J1UsTkYzb83B5rUyjYvCBGIA1hf9wa3KBqpWAXodi2djn9Y1kKtpjjWCLitGhAEwlPdjGaeUc45x9qawVqHtV4N+5dvLhMGPnWpllFK00JTNL5smMbxucnxyhDxaY+KhXwl1MPGc83JcRe8oMYiIs8ALfwaKXPOPSAii/ga7zfji3++zTm3fqVz+V7OTmQkAd+LdVNY6aqJh+xwXOxZguMnMBfWeOSrvgJb74b7iOZrZO1NPrnyJSChfNcdLL7kVjpZNgwdLQWjVD7doTbHj/2bSeE1K8Ow2YJjpIW6hrcchA81Q4KqIQwtzU3DF5MBFweW3sCS5e9OtaoolRSZgpV8VdpMLa2+ZTDw95okXiW6VNYcK2sWS96ot5IY1lKLdbDRMhjr3Ta0Gr2I0zg+FzmOI9KOap7ydHOgCLWjHLjhSx7kYcEiQpC/adeqHKfhazGy/MUttQTfAXzEOfev87os7wD+8ZVOEgcan/jNEmtHYhgaiBxCK5lU6TjnOHe5TfnIjdRf1uN0v0VmhdtfcR+LBxfImqs8suZVRPfcfy9LNx2jubE5PL4wnDnnyKx3+w4VxNoyMH5hmVkfb26cYHH+GCXUAnjjovDx1YjEZliT0u1lfLk9lqdL/MKyWlVoLXSMo5NH86Wpo9ez9Ps+uOlgRdOoK5YqmoORYj3vLddTy0bmcNYb3KwD5xSVLVqbguPzkWOBQDlEDM7BwAiJEULlZTJ6RtunbdeaHHdbtXw9pmFvAd6Qf/4N4ONcRWMB/zB8L+Wd+zI79E/dtq+IcPfLX8mZkw9RC/rcdNtNNAcBjchQCYXohsMc+YFRxtgjhw9y/8vvBUbRdpLHeYyn7DHW4fDz8fWeppUo+pkQKOvzaOXqVgdUAlhfD7Aa4uooBSr48NbCcc/lqX+U+FxeGxvePymKhEPLAa9fiAkEzvYNn9/011bAS6oBDzR8mqAnVUKR4Sd3mxp6GqdG6GdCNXzucizQiA210L9IlzoBh6oZC2U1kXB7p/n8tSRH93UM/nLAH4uIA345z4x/KC9ZDb7a7aHnckIt5IYyH9/dSxWrvZ1pHr31Hk7cdgeLFd8rClCJNJGSodMggFKKtd5oUVoJ9bYMJOBdwxfLIc1+ylzJ0CgZBhuWKO8NlytQCeGxFfiHx+EPLsKnmpreZpVyozM8T5bBxYuj6x+fC7j/UMR7TnYw1k8rbpgPeGA+IhD4cjvjwmCkUXrlXEQjEC51DR891WN+KUAEWk1N72zIz90BZe2zKdZiy2DDMu5y8lzluN7TJJmwWDYca6TDZpVZN/QunoZrTY5fT6/j1zvnzorIQeDDIvLY+I/OOZc3pG0Yr89y5Oix8e3gHI3YR/Q5ZzlYyajFmm5qhpncx6FFEweKWm41LtSbgRFWe3pqqKhWQjmwzJe8YMuBJiwcAJ2jFnmDVWa9c11mHa0kI9K+t33JIpzagDcsQj0Q/ngFBp0yUXmA0pZaJDxwOObTZ/sMDFxqGz6T9TEWn2xhLuSWWoAWeKSd+jk1Xu3ZbBo+17IEAkagmsdlrK8ENFc11USoaLhpjmGU4NY7fH5y9C/5Vjlax3Ujx93wghqLc+5s/u8lEflDfMWviyJyxDl3XkSOAJd2OHZYn+Wue1/hjHXDhaKIEGmfhQQsgbKUtOCcHfo9xWM1Q7we3y8aC02HsX4hGSjvLJgaYbAleq+feYdBgIWyo4odPuhI++3a+hfCOEdiHM5ZJIC5WLFcEeZL0IihbYRPrgW41GKMJXXe5aKYuQyco2l9Cp9SSYGCxHrLw0piafctWb7/YOA4PzCEoVAqCdVY+56wrTmkFC9f9OG/CyV/7tTKkOO+HF+YHHfD824sIlIFlHOulX9+M/AzwHuBvwX86/zf91zpXM55K624PMpNRiGwSgSTZPQy33P53FZCNdR54mpHpEe+SMZ6o5PPcKIxzmcy6aSCyaP3irolmZWxzPIZ4KgP81wVyf+8a3hh5Eqtw6SGQCmWyz76cC6GiginepC5iM0Emn3Dp0/3AEGUIwj8IrXAhZ6hk1pK9YjMODqdkVanQBgq4kiTDGDlYsBiKHzzAcf3HIFjeX7sbuoL+gTKG9b25fjC5Pj1SrJ3CPjD/OQB8FvOuQ+KyOeA3xWRtwOngLdd7QkHmaWfWeZLwXAxGSrZMeXoXLydfjHEF162c3FAK/HTkErNr1nOt4O8cM5IMGt9TWItmfX7zJdC9BTdiHdr9ylIz7VDGrFhqey4/1DAT+I1Kn+yBu+9pOht+uwPUaXPQDIuX56c+18GnjqfTpx7HM1VzeX+yGj2tsPw+mXLYsmMFfdhm5FvX46T13q+ctyK591YnHNPAS+fsn0VeONzPV87yYi1Gtb82BxklAKVq0I9WoMsj6HYOd25Tz3qPxe9RDV3UbfOL1YPVjM2+pr2lnog3UQNy7dZlw3LMIzn9+2kim6qOFDJOFhJ0crX/jA2487lgHZi+L6G8NYbNSfX4F1PQ7sXkxYPy01ccle8aUnxuhtHO718GUJRnGuPeta52FCL7JDjvhxfmBz3hAXfO985HH6aEGq1zVt13CvWOUc3NTh2rhlSoNhW+PIFiqnetRbJXSocaz1/rVDlLhBScPDzf89xdKxxDuMM1UiYV8IhYF473u4MfeM5jr+wO6G4L4CjkeNwNCI6SKHnhHH/x3aifEKInOO+HF+YHHfDzDQWyAWV+wPVIj30Xi3gs4OMtvUz74oe6VHyttRYlMjUhy3ih9rMes/cSNsdUvYInby3jLTFOEHnSr1Iu/xBb0c/84VB/a+WxTJ8x+ERx0Z8ZY7WQWvgcq0RtJJRWqGNKdmeBkYN84UVHPfl+Pzl+I02Sj5nGOt44tnW8z5eK5+FH7w3rZLpPWMBr41xGOeNeVdCOsgI1D7H64HjVmfNccxEYxnvgbYiUG4YZxBpxc6eTeT7XFkgkmc60eKoRo5uqna13IKvnrvP8frguBNmorEoBQcPNkjs9qFcyWi4PlCxNOLJcmxb0U6yoa2htkNoa2r8kJ5ZRycxDIzPWNjL1FTfqebKOqXA0Vjc53itc5z5+iyCbzBTEpBgx4bPZt/PKl1eFLSo/+EL81hKgUKLgGKYSKGf7TyuFvms5vM0n3HqgO1BTB3t0Mrtc7wOOO7gcALMSGMBCMTlqWhGxq6taCUa5wzGGULl56pK/ELVx1ooH+aaH2qcL81WuHao4fbJ88a5tVmLJVRm2z5ruepzn+O1z3G3CdrMNBafeseQGDjfDtlJkd5OFQMjHKllbPRHHqrGwqMrcLiaEQejYxfLIe3EIIzquDf72US8R+FwWQoU87nhrtlPtwlxn+P1wXEnzERjEfHW5X7mLcRH62Mhq6kac6UAH6sB5/LaHwtlX2VWCRytpwTiBREqRSuvqlsIrpiPNsYs1g7Y6Kc4vOXbWEcjDmjEId3UDEtaR1rtc7xOOO6EmWgsUGQW8Yu+3tjcU0LLIpPuDUoJlUDRSc3QOqwE5iNNLzO5r5MfYjuJ8WlCdzC4OeeoRnrCIFXkztJKKEnh1Sv7HK8TjjthZhoL5GGrgUwMm5GGcuCGJaaBYY5dJXZiAC9yWmXWBwlFWoa9RaiE8SxZgfIPrXA0LGCdG9aB95ZuGVae2ud47XPcDTPTWGweBafVZMRd8Vuznw57BOcY3uT47RXbyM9Tj4JhWbjUOtKx38vBqPy0MBq21ZaIP+ccoRIcbp/jdcBx5lXHzjnWeinlHdJ+CuzoMTsN3dQMe6eFvGZIsmUF18ssvcwHJC2Uwx21IKn1WhaBfY7XAceZd6T08Q7CWh8utB1LFd8rlAONktG8shbpXM/uqI8t3JI862E9r9BbCjRxPmi3koxQKcqBT5rQSjJWunqYyUMElGQ+LY9W2zxxAyWEeVaTfY7XPseZH1nAazWsEwLl55z9zDIwBkGGNUWcyw1QW9ZhSiZrH/pFXR5arBSh9sFH1jnKgXcWTK0js9BNFas9X3PEl1wwQwOYP7fk5eVkn+N1wHE3zExjCZViLi7ivn2vYiy43NSrxYfHaiWEWsisRYuMReFtP6eIDIOXfC5dX613Lva6934mdFPNRp4QLjEWJYZQy0QEkXOFp+0+x2ud426YmcbSTrKhj4+Ir9kOXh/eTjLmSwEbAx/aWtzbYjlEsfuirEBiLN3UTJkPF4LyteSTjqAk3XZsKdD7HK8DjjO/ZjEWnm4GHKj4MtTjiLQXZqHpAJ9Y4FInwJExF2vi4MoC9IkY1JZtjqO1lPPtcCjGzMLZ1qSQu5milwH7HK95jtMy2BSYmZITxgnNgXB6w9EaZHlGEnI/Hp+fatwj2zhY7WrObAqXOzucdAwigsqH8krok1P7xSYslQ2hKoxjPt3o+J9zo6yP+xyvbY67YSZGlgL9DFLjBTowvucpBaMMJf3Mjs0vhW4mdDNI7ahiUymwRHpyEVjAOZ9tPtQKUIgpHpIlcz4X8PSIv32O1yPHrZiZxqLE5Rk/hJVewErP1/pbrrhcizIZ762kqBEidFJfHg7gYMUwV1KUg8l9RfzCr5UYGrEMc/QK0Oxb5mJfWHS9X2hG/LNykCducPscrwOOu0F2W9B8o3DnPfe5T/z5Z9lMFM3+ZPuthD6TYlH7sJdZOolPsHCuFU4ZOvMeZMz0tFzJqITbneRCJUNHu1aSMRirBzKfO/v1M8uTp1sgcOJYfZ/jNc7xL7z6m/jKIw9NnY/NzMgiArXQUtKT2gmVh4UWrtVFEA8ODlYzmn1NLxsfTv195tp6DlYyupliYzC61eVyRi9TZFZwZDTigGoYoMUMHfvaSTa61j7H647jNFyxsYjIrwH/H+CSc+6efNvUGizi9Xq/AHwH0AV+wDn34JWuAV6DocNJtomxw3Q1hbFqxMtnCKlFhkiPepJ2oid6oEg72vn8VHA0Yjt0zhNRRPnwrJQQ6ZGBahyBEjLn9jleBxx3ay9XM7L8OvD/A35zbNtONVi+Hbgt/3s18Iv5v1dEHGxX93lsH1L9fNcLtBIW1lgPY4WkcG/I/xcqn4pHi0+m5hPM+epQ45nni7ntVmglZMbtc7wOOO42vFyxsTjnPiEiN2/Z/BbgDfnn32BUg+UtwG86vxD6jIjMF0nCr3wdhsmqC86VPAPiVmTW0pxWgpciCm8S8yXD/Nj3eqyHcdtbsZvRa5/j9cNxGp7vmmWnGiw3AKfH9juTb7tiY3m66VWIJQ23L+2+rxYZLgLBW34LB7xpqEWT5amF3BN1yzGlHTxh9zlefxyn4QUv8HerwbIbxuuzHD56jFpkKFsf4PN0U3NjQ6YPk/7YibnleDrSaQjU9sCeSAtaRhfoZb5mu8kXl9VQb0vets/x+uE49dxX3GM6dqrBcha4cWy/Y/m2bRivz3LnPfe5UuDrH/ZSoTnwVaHmS1DawjCzFmMn6xtqNVlMc+waE2lLx+GFOvq9mBoU3wMlKDvpibrP8frhOPU8u/66M3aqwfJe4EdE5N34hf3G1axXCvQzoZmr/c62vErwQIUJL9PU+JueVgx0GrqppRLKRBWr4bmso9mfPqRvDgxKINbiDWp5/7bP8drmuBuuRnX82/jF/LKInAH+Kb6RTKvB8gG82vgJvOr4b1/p/Pk1ptbGONfybgknFkbbSoHKy1dfHebHuivrYL0/lk0kEy52do7KWygZVGy9t6zW+xyvA44vyOvYOfe9O/y0rQZLrgX7B1c6506ohpZApVzuBhS6ks0BPLbiOFjNdtWBT4OIT4VTLO4qoR4KtJdarLMcqY00LZ1UsTkYDfGbA+1Lp43Jb5/jNc5xF8yMBd/3IHYi2wf4HqKbwkp35zTRkXZUIz//3BwoQu0oByNnnyAPZxURgnxeWgpGaXK6Q02JBQebiaLwSM3GBLjP8frhOA0z01h8gRohtZZY+wWgG7ozyNQkzuAzr4v4st4DIyRGCJU3To3OvX0oL4xSzjkya3HOHxNry8AI4MisDF3K9zleHxx3U+vOTGMBf6O+B0g51wp9pBywmxNCIzbUQl9991In4FA1Y6Hsy0YX2GkeKnnMw3g6HGMdDj/XXe9pWominwnVcJ/j9cBxt3IUM9VYwNdi90YoHzvdSxWrvZ1prvc0SSYslg3HGulQ1Jn1dQ93QiXUU2sqqvz6zX7KXMnQKBkGG5ZxV4l9jtcuR7UXsugXEBFwjkas6aU+H+7BSkYt1nRTM8ySPg4t/saLGh3jqsPVnp4aKqqVUA4s8yU/hy0Heli7HeeoRQHOeV3/1qP3OV67HHfDzDSWoigNeCFGWvJwU0ugLCUtOGeHPkVxoIb1OLyOXBHpUd4nY/1CMlDeES81wmBLZFw/8854AAtlRxU7FGJRVUpbL2zj3D7H64DjbpiJxuJr/jnEeeuqklF4qRLBJBm9zPcKPm+UUA11nhTaEemRn4+xPi7BZw/RGOezhHRSweSRcUVNkMzKWNb2DHDU8wdQcPCpd3we3X2O1z7HPZFkD7yTXD+zzJeC4UItVLJjOs+5eDv9VpIRaTX0YJ2LA1qJH+IrNb+YO98OSLcU0VnraxJryazfZ74UoqfoRvY5Xj8ct2JmGks7yYi1GoZ+bg4ySoGaqHneGmR5fMIOXneQp/X0n4teopq7f1vnF4IHqxkbfU17ohCo0E0U/TwSz7psWOKgyJ27z/Ha5zjzecOgcGxzuLzOX6jVcF5bYNzj1DlHN/Xx2TvV4yhQbCv87AI1mRBhyAHJSzs71nr+WqHKk0XLPsfrgeNumJnGAn5xZvJEArVIT3iGgndpcIy29TPv5h1pNfRYTY1FiUwVpIgf6jPrCLUj0naHdDij8tORthgn6FyluM/x2uY480ZJYx1PPNt63sdr5bPwg/dUVTK91ymQGJcrFUbVcXdDOsgI1D7H64HjbtrjmWgs4617KwLliAN/B5FW7Ow1RL7PlQUieRYRLY5q5Oimu1tuATK7z/F64bgTZqKxKAUHDzZI7PZhUokj0n5wPFCxNOLJUmdb0U6yoR6/tkPYaGr8cJtZRycxDIxPLdrL1FS/pObKOqXA0Vi8eo6hUrSTjHocoETyuiKWeqTp5Aa3F5vjXpDjN5rjzKuOBd9gpiT3wI4Nn82+AxwuL7hZ1NbwRW8spUChRUAxTFJQGLOmocgVNV/y549TB2wPEOpoh1ZuC0dHNbQkRkitGnJMjGFz4BeYvUzoZf7+MkseHei3W+cj8zrJFlmIox6NOL8wjntBjrPFcbcI+ZloLACBOK8xYWRI2opWonHOYJwhVH6uqsQvAn0cg/IFbfJDjfOl2Qq3CTXcPnneOLfkarGEymzbZy3XkmzlWA0tDpXr8T0yK3RToZUIELDeL37xOXfX+jDuH7UVSuBQ1VL4v3rD3PPnuBfkOEscd5ugzUxj8WltDImB8+2QSWfp0S20U8XACEdqGRt5ihwR35M/ugKHqxlxMDp2sRzSTgzCqEZ6s59NxFIUGRBLgWI+N4o1++k2IW7leKm7XXyrvSt7wO4GizekFYi141A1G6YDKofPjeNekOOscdwJM9FYRLzltp956+vR+lg4aKrG3BTAx0H43LcAC+WMSui1IkfrKYF4QYRK0cor1haCK+ajjTFrsAM2+ikOb1U21tGIAxpxSDc1w3LRkVZTOTb7mu4Wg9fw3A5+6ve+yHp3y1xrB7z2tgN8/+tPTGxLzOhe/b1YFsr+2lv9DHfiuBfkOEscd8JMNBbww2wRuNMbm3tKaFlk0v1aKaESKDqpGRqSlMB8pOllJvcj8kNsJzGI7GzMcs5RjTTjg0CRl0oroSSekyBDjkUWkG5qphq8Hnxmlc8+uYIDnllpkzWWUNX6tv0EUNaSJGA3L/HZJ1fobnE1P7pQ4bvuHyXM6aSKIqf1fGyG5Re2ctwLcpxVjjthZhoL5CGhgUwMm5GGcuCG5ZuBYf5aJZNGpOIlzqyPu4u0DHuLUAnjGagC5R9a4cRXwDo3rLHurciCUuPHee9W5xzrfTcMRc2M5cFTazjr+PSTK3zi5Aq6NgfVeYKlg+j63MS9ivIvgrIWSSALLJc6LT76rF/kiLNYJxxbtxxqXAbg9iMNFqoxaaIBP+8v5zVKtnLcC3KcRY67YWYai3X+prWajGYrfmv202GP4BzDmxy/vWIb+XnqUTAsuZZaRzr2ezkYlXYWRsO22hJN55wjVILDDTkWMdurvYDE+Iay0hrwrg98mdQpEEGVq8Qn7tjxfnWoCGN//QAw8Q3YZKSdCUzGIFOc7XT42Q8+Bg5+/M0v5RXHF1AiVCLNej+Akp+abOW4F+Q4ixxnXnXsnGOtl1LeIaWmwI7eqNPQTc2wd1oohbSSbOjEV6CXWXqZD0haKIc7akFS67UsAkOOSgV85fJoWfrgqTXfUIwjfslLUbXGFTlmA0s2GE1BokpAuKXIYgmIkhLZ3Cvo9eDff/JJ+PBjHJor8Qvf96pdOe4FOc4ix5l3pPSxBMJaHy60HUuVXPMTaJSM5pW1SOd6dkd9bOHmDX4m90L1Q22cv8qtJCNUinLgbRutJGOlq4fTJxFQkiHi1YpbvVwD5Q2MxVx4rQ/tZNRQ3vOF03z00fOkTvmGUq0hW8q2HbjBEVcsrdbOOXqVFtK+ptvcolZ2DheGVBsBJr6J5NJFLq5f4qf/80P82JvvZKEUTOW4F+Q4ixxf0MiyQ32Wfwb8IHA53+0nnXMfyH/7n4G34y0+P+qc+9CVrgFeq2GdECg/5+xnloExCDKs1+FcboDasg7ztojJFJ/gDVWBUoTaB/ZY5ygH3hEvtY7MQjdVrPZ8PQ9fzsAMDWD+3JKXbhNKgaI1ELqpHw0/9KVzfPLkJc50LOGho6j6nG/4sSUsjUaNIAYJLHHFUakojpY0PeNYHRh6vaLZ+V4tro2OiyMBp2iu+HuRcgW9sERmLY+evcT7HzrDm+8+wKuO1yY47gU5zirH3fB867MA/Fvn3L8Z3yAidwF/HbgbOAr8iYjc7goz7C4IlWIuLmKqfa9iLLjc1KvFh55qJYRayKxFi4xF4W0/Z1GtFvxc2DpHJdTMxV733s+EbqrZyJOtJcaixBBqYVxl4hx53IQGgSQznF7r8vufPcV6AnphifCI11jpwFKqGspzlmBMulkGYSjU64qb6yGrA0Nrw9Hr5doYDUHVUa6a4f6VigIL7U0h0I5EgarWiYKQrNfhfQ+d5UC9xB1HGkOOe0GOs8xxNzzf+iw74S3Au51zA+BpEXkC+Cbg01c6sJ1kQx8fEV8PHbw+vJ1kzJcCNgY+bLS4t8VyiGL3RVmBxFi6qZkyHy4EJXQzRdIRlKTbji0FmtMbsJnAxY0+P/HbXwAguulWguVDw/PUDmREJUcYCsvLYzr+sQfypVZCu23ptEdJHOp1TbmshvuurGR0uxawLB6DQwcDTj2u2FwTKFco3fEy+o8+BPies+C4F+Q4yxy/XmuWHxGR7wc+D/wj59w6vhbLZ8b2Keqz7Apj4elmwIGKL/E8jkh7YRaaDoDUCpc6AY6MuVgTB1cWoE9yoLZscxytpZxvh0MxZhbOtiaF3M1GMRQTx99+D6pcpTYPN9xqWVnJEAV3LIXceyAaqkq/2kk5tZmxsTEaYO9airjj2Og6X+1maIEbY80Hnuxi8l3DUFha1LxuMWb+zoyTpy0Xnp28337mH34vA2ZcjrPOcVp2mAJXn3V5Er8InADuwxcqetdzPYGI/JCIfF5EPt9cX8E4oTkQTm84WoMsz/ZB7sfjcz+Ne2QbB6tdzZlN4XLnqq6HyofySuiTU/vFJiyVDaEq1gpeLTz+N97ZfPHUGv/3p57ye4YRpTmozhvCCJSGlx2MeMlCSCVUlLRQ0sKgZ+l0fCbEel1z36GYW+YCqqEa/mmBla7h4QvJsKEcnwv45iMxd9dDHr6YcHEjxWlDdSFjsoP1HIusj7Msx1nnuBue18jinLs4RuxXgPfnX59XfZaX3v0KBz5dTWq8QAfG9zylYJT9o5/Zsfml0M2EbgapZWjJLuVGukBt7weKGh6h9k6NYoqHZMmcz7M7PZpuhNOrHT73TBO9sExcg1LNEMdCyQTcPAe3zgfMlzSDzHG27TU9rcR72lbLilvmA05UAypakVjHamLpDyzrXcta19LtWkq5Z2wU+Bes33c8vZ6iQkGHUKpbskTo7xAGuxfkuBc4bsXzaixb6kR+N/BI/vm9wG+JyM/jF/i3AZ+9mnMq8fNT44SVXsBKD26ow3LF5VqUyVhqJUX9DaGT+tJrAAcrhrmSohxM7iviF36txPh4kzz/rQDNvmUu9kU71/uFZsQ/K0cR4ur/A5AoIr7lNuqHEnToiKxm2UTcdaM/LrWO1b7hT0/3UQoW5zSHFgMiJdxbD1EipMaxnloebiWsrGQol6cGUtBoaJSCcy3DydXUu7QL1CoKYxxJ4qgtG1pDzWdRltrNvBxnneNueL71Wd4gIvfhz/8M8PcAnHNfFpHfBR7FJ2f6B1ejCVPiOFZP2UwUzTFHurMtWO/7+uaL5ZB6FNDLLM4Zbqj7HLlbvUUvdQMudSetvcsVQyUcqWSLVJ+hEhpxwHxuzKqGlmq+33zu7NfPLIOmJTEQTcmQCNAow91jK7PHVhO+eME7Ty4tBbxsPuRoPLIgAzy6kvCVZsrComZ5OeDeekS7a/j02QGXLmVD5UAUCYuL/tj1dcNg4HBW6G1WcXkAVSlwpIEFYeblOOscX1D61h3qs/zqLvu/E3jnlc67FSJQCy0lPamdUHlYaOFaXQTx4OBgNaPZ1/Sy8eHUiy7X1nOwktHNFBuD0a0ulzN6mSKzgiOjEQdUwwAtZujY106y0bWY7HV04Jg/kqKKU+ajyUee6fn5dygsLmkE4YGFiPnQ+x0NMsdHTnX97CIU6g091O48dHFArzd6yPfWQ2oLwkZqebyfsbZmSFNHqSREUcDmOnzPX72Lu7eskmddjnuF4zTMhAUfvAZDh5NsE2MpnFKzLb26iK/VUYsM0VjezXaiJxZqkXa08/mp4GjEduicJ6KIdBGpKUR6ekbCQAnZ2CpfBILYDvfdGFgevjTgctdQKgtHy5ojNS/axdBnYlzvG55YT7nctZTLwg1lzXxZc6af0elYej1LI1C8fMFrZw7EinKoMA5aLUuSOG6ZC7BOc2bTp+55YLnGidjSEEsv57gX5DjLHHdrL7PTWILt6j6P7TEGfr7rBVoJC2ush7FCUrg35P8LlU9zowXmYpMnb4NSIIxHLRZz263QSsjMZGOJIkUjEPrW0bOOxzcyglA42Ag4Xg+4sewzLa71LcbBxU7GyY2MMBQOzwUcKGkCB2nqaLctSsGBmteUAaz1DK3UsNYzdDpeBotlTasT0F1X3NmAOzQcCWwedei74L0gx1nmuNvwMjONpVArFlQlVyFWptxRZu0wcnArfBTeJOZLhvmx7/VYD+O2t+JKRi8RQYeK5eWA185HnOoZzvSz4XH3NkIWQu9u4Rx87FSPXuanTweWA6xz3DsX8cxaysOX/bpGAXMNTb2mKTLC/9mZPuv9yZfn8+cHDPqWuaDEO+/yi+Ikg2bfl5irRntDjnuB4zTMTGN5uulViCUNty/tvq8Wyet6eAwyO3TAm4ZapCd6MiH3RN1yTGkHT9iJfY4eYS46iHOGP3qyS5I5wliYn/fHffzZPlEo1Go+kc+bbq0QKe8TlVjHe092+ODlDGtHBsdvno+Jtbcx9DLH+5/o0s+2P9ykW8IkATqC9R5s5vH8tQgWSpDYvSHHvcBxGmamsdQiQ9n6AJ+nm5obGzJ9mMT3CON9wniqz2nwddAnd4i0oGV0gV5mfcKDfHFZDfX05G1aY1FcPKNxusdtiyH1quJ8ETZb9kFOWoTbqwG10H++1DE8cjnBWO9herwRcMtCQBwrqvk+a4nhqU5Gb0pDAZhbNKR9ga6vJ2KApbKwVIbW2t6R417gOPXcV9zjG4RS4PJUQUJzAJUQ5ktsczPJrMXYydqBWglabZd2YZiaBi/U0e/F1KD4HihB2UlP1HJguaUCL6spHtpQlOcKp73ReeO44OXLaFwYGJLEcaFlON3KKJf9+Q7UvRLgcmK4MPC93nrquJyM+IahoBQMBv4C5YpF4ei34FPr8Io5OKws4wnm94Ic9wLHqefZ9ddvMPqZ0MzVfmdbXiV4oMKEl2lq/E1PK7Q5Dd3UUgllokLU8FzW0exPH9I3Bz6+PtbiDWoIjdjyqkWoKMVDm6C18NRGRtQzLC4GxMpPhRzQt/BIK8Va2Nw09Pveij83p4mVUCopmqnly+3RfNxah8kVCUpBuSzEoaJjDQPjVZuiHF1x/MZZuLXiQ2l7qRty3AtynGWOu2EmGouIEE4ZBs+1vFvCiYXRtlKg8tLQV4f5se7KOljvj2UTyYSLnZ2j8hZKBhVb7y2r9TaOS0sBna5vEIHA6xZiHtxIaI5No1ZWsm35c+9rRKwkhodakwvXft8NnS0XFwOCwKue33y4xCfWB6TWEUWWUjnh2SdH9pWh1/EUjjD7cpwljjMfKVmgGloClXK5G1DoSjYH8NiK42A121UHPg0iPhVOsbirhHoo0F5qsc5ypDZ6YTupYnMwGuI3B5rUyjY/CBGIA1hf98asKBqpLwXodi2djr+mtVCrKY41Am6rBgSB8FQ3o5kWUwLH2prBWoe1XsX5l28uEwbe+U/LSJtZaG/GZwvTOO4FOc4sx10wM43F9yB2ItsH+B6im8JKd+c00ZF2VPOUp5sDRagd5WDk7BPk4awiQpC/aaVglCanO9SU+DnUZuKdsYyTYUhqwTHSQl3DWw7Ch5ohQdUQhpbmpuGLyYCLA0tvYMny51KtKkolRaZgJV/dN1NLq2+Ha5Ek8arlpbLmWFmzWPIGs5XEsJb62oobLYOx3v1lfM4+jeNekOOsc5yGmWksvuqTkFpLrP0CsMil4pCpSZzBZ14XMTgHAyMkRgiVN06Nzr19KC+MUs45Muvd50MFsbYMjDfwZVaGLuUW549RQi2ANy4KH1+NSGyGNSndXsaX22M5sMQv0KtVhdZCxzg6eVRkmjp6PUu/74PEDlY0jbpiqaI5GCnW81FnPbVsZA5nveHSOnBOUSlP3kvBcS/IcdY57uZMOTONBfyN+h7AO85ldujnu+MxjdhQC/2LdKkTcKiasVBWlMfyQ+00D5U85mE8HY6xDoef6673NK3EJ/0OlPU5qnJVpgMqAayvB1gNcXWUXhR8mHDhAOny1D9KfJ6sjQ3v5xVFwqHlgNcvxAQCZ/uGz2/6ayvgJdWABxo+3dKTKqHIlJS7nw29eFPjE2pXw9mX46xz3K0cxUw1FvBzdG+E8rHTvVSx2tuZ5npPk2TCYtlwrJEORZ1ZN/Q4nYZKqKfWK1T59Zv9lLmSoVEyDDYsUT6qLFe8qvOxFfiHx+EPLsKnmpreZpVyYxSZlGVw8eLo+sfnAu4/FPGekx2M9dOzG+YDHpiPCAS+3M6GKmSAV85FNALhUtfw0VM95pd8/cRWU9M7G/Jzd0BZ+6yUtdgy2LCMu3PMqhxnneML8jr+RkNEwDkasaaX+ny4BysZtVjTzeuabIUWf+NFjY5x1eFqT08NFdVKKAeW+ZJ/QcuBHtZFxzlqkTf8ZdbHyWfWDavjlgPNSxbh1Aa8YRHqgfDHKzDolInKA5S21CLhgcMxnz7bZ2DgUtvwmayPsfikFXMht9QCtMAj7dSvTfDq42bT8LmWJRAwAtU8vmV9JaC5qqkmQkXDTXNQDYu0qHtDjrPOcTfMTGMpitKAF2KkJQ83tQTKUtKCc3boUxQHaliPw+vI/eK70BgZ6xeSgfKOeKkRBlsi4/qZd8YDWCg7qtihEIuqUtp6YRvn8pJrFglgLlYsV4T5EjRiaBvhk2sBLrUYY0mdd10pZgUD52hanwqpVFKgILHe8rCSWNp9S5bvPxg4zg8MYSiUSkI11n5EaWsOKcXLF+FA1bu4gI9TLzjuBTnOMsfdMBONxdf8c4jLowVlFF6qRDBJRi/zvYLPGyVUQ50nhXZEeuTnY6w33vnsIRrjfJaQTiqYPDKuqAmSWRnL2p4Bjnr+AAoOPvWODI2FqXWY1BAoxXLZR/bNxVAR4VQPMhexmUCzb/j06R4giHIEgV/sF7jQM3RSS6kekRlHpzPSjhUIQ0UcaZIBrFwMWAyFbz7g+J4jcCzPM95NLdY5AuUNlLMux1nnOPPpWwsMMl9Kbr4UDBdqoZId03nOxdvpF1OlwoN1Lg5oJX6Ir9T8Yu58O8gLEI0Es9bXJNaSWb/PfClET9GNeJdxn4L0XDukERuWyo77DwX8JF4z9Sdr8N5Lit5mFYCo0mcgGZcvT86rLwNPnU8nzj2O5qrmcn9kfHzbYXj9smWxZMaKJLHNyLcX5LgXOG7FzDSWdpIRazWsp7E5yCgFKlczerQGWR6fsHPlLJ/W038ueolq7v5tnV8IHqxmbPQ17S11VbqJop9H4lmXDUscjOfO7aSKbqo4UMk4WEnRytdQMTbjzuWAdmL4vobw1hs1J9fgXU9DuxeTFi+9m7jkrnjTkuJ1N452evkyhKI41x6NUHOxoRbZIce9IMdZ5rgnLPjesc3h8jp/oVZs9QQd9zh1ztFNDY6d63EUKLYVfnaBmkyIMOSA5K4pjrWev1ao8mTRUnDwc2vPcXSscQ7jDNVImFfCIWBeO97uDH3jOY6/DDuhuC+Ao5HjcDQiOkih52QYUQjQTpRPtpBz3AtynGWOu2FmGgvkL1zuV1WL9IRnKBRZVkbb+pl38470KAleaixKZKogRfxQn1lHqB2RtjukwxmVn460xThB5yrFSI8q6m5FP7NUwmJAtyyW4TsOjzg24itztA5aA5dr36CVjFL2bAy2X3NgFA4mOO4FOc4qx5k3ShrreOLZ1vM+XiufhR+8p6qS6b1OAa/Vcpix6ri7IR1kBGqf4/XAcTft8Uw0lvHWvRWBcsRBHlilFTt7DZHvc2WBSJ5FRIujGjm66e6WW/BViPc5Xh8cd8JMNBal4ODBBondPkwqGU17DlSsT5qmFO0kox4HKJG8ZoelHmk6uTGrSDw9Danxw21mHZ3EMDA+82MvU1P9kpor65QCR2Px2uJY2mUN1U6y65LjC63PciO+3ESRKv4/OOd+QUQWgd8BbsYn2nubc25d/NV+AfgOoAv8gHPuwV2vgW8wo+QejmpoSYyQWjUcPhNj2Bz4xVsvE3oZuXWdPPLOb7fO+2F1thQJFnHUo9E4W+SKms/TpcapA7YHCHW0Qyu3BzmOYMemIc2+AxxF/sOiRokvHmQpBQotAophsod+tvP85FriKC/Q3SXDZ8l/UETqwBdE5MPADwAfcc79axF5B/AO4B8D345P23ob8Gp8EvFXX+kigbg8pY9/saqhxaFyHXlOxArdVGglAgRjtgafz3YtT+CwE5TAoaql0N96o5e3CPuk1JZQeQGOZz9cy7Uke5HjNP10K9E4ZzDOECo/51fiF9M+HkT5wkD5ocb5EneF+4kabp8877XAcbcJ2tVkpDyPz5SPc64lIl/Bl5F4Cz6tK8BvAB/HN5a3AL/pvML6MyIyvyU38lT4tDaGxMD5dsil7nZqq70re5fuBos3UhWIteNQNRum2imHivncKNbsp9uEuBc57mTYaaeKgRGO1DI2+iOPaWPh0RU4XM2Ig9Gxi+WQdmIQRrXmm/1sIialyCRZCvY2x53wnNYseVGjVwB/DhwaawAX8NM08A3p9NhhRY2WicYiIj8E/BDA4aPHWMjzzTpnOVpP85vQdLcYkwo4Bz/1e19kvbtlHrMDXnvbAb7/9ScmtiUGzo3V56hFloWyv/ZWH75Iqz3LEaCfqjF3D88ztaNzL5R91WMlcLSeEoh/oUKlaOWVf4sXsJjXN8as6g7Y6Kc4vHXeWEcjDmjEId3UDMtu7wWOO+GqG4uI1ID/DPy4c25zfCHknHOy22RvCsZLTtx17yucVkIcjNLYdFMz1Zj04DOrfPbJFZ+RfKVN1lhCVevb+QLKWpIE7OYlPvvkCt0tbtxHFyp81/2jChmdVFGEz8/HZljawJ/P6/P3CkdgmMsXQELLIpPnVkqoBIpOaoYGOSUwH2l6mcn9sfxUpZMYn7Z2B6Ogc45qpCdcdor8XloJJSm8o2ef4064qsYiIiG+ofwn59wf5JsvFtMrETkCXMq3X3WNlm1k8nqBzjnW+24Y5pkZy4On1nDW8eknV/jEyRV0bQ6q8wRLB9H1uUm+ygtZWYskkAWWS50WH33WLyDEWawTjq1bDjV8DdnbjzRYqMakiQb8nLqc1/9QYwLfKxwlkInpR6ShHLhhGWxgmAdYyaQxrugMMuuD1iItw143VMJ4Jq9A+Ze/cIYsYJ0b1qr31njZExx3w9VowwSfNf8rzrmfH/vpvcDfAv51/u97xrb/iIi8G7+w37jSeqUg7qn6eOjVno8QzIxlpTXwdeadAhFUuUp84o4dz6VDRZiXeAgAE9+ATUaaj8BkDDLF2U6Hn/3gY+Dgx9/8Ul5xfAElQiXSrPcDKPlhP1SCw+0pjlpNRgUWMm7202HP6hzDl2X8NSm2kZ+nHgXD0nWpdaRjv5eDUYlsYTT9UVuiEp17fhytMay1Noa/qyAkKFWuyDHpJ2TdNuCoVatU81jsK3F8oV7HrwP+JvAlEXko3/aT+EbyuyLyduAU8Lb8tw/g1cZP4FXHf/tKF3DOsdZLKQcKpQK+cnm05Hvw1Jp/CY3zdeZrjSsSzgaWbDAa3qNKQLilNEMJiJIS2dwr6PXg33/ySfjwYxyaK/EL3/eq4X6p9VoWgT3FcVpqUoEdvXqnoZuaYS+/kNc1SbashHuZpZf5ay+Uwx21Sc+XY/OZp/nEO75/+P3Ya9/Mq370Z67IcdC8zGd/4m1gLbf8tf+BG7/jv78qjrspZeT5aGy+1rjr3le4T33us7QSoZ0EdPM133u+cJqPPnqe080B8a0vRVVriJ4U8IEbHHHF0mrtnP9WaSHta7rNLSpb53DGEZQDTHOT5NJF3Polbjtc58fefCe3HwxYLDuePN1GBG49VtszHJNMs1TJNWiBRslofl6LdG6vcNTHFsDecGpyb17JY9QdWoRWkhHmMSnWeff4la4eTkNF4GjNrxlirbZ5C1vn+OITzavm+Cu/9G5KZx/mlfXzHL3h1PA8nU6d0xeP8f72cZzz0zgHw0wurypd4IagTRBk3Hz8GQTHyuoyj68c4ZPpcf6Xf/LDlMulHTne87L7efRLX5zanmbCgg9eq9EaCN3UjzQf+tI5PnnyEmc6lvDQUVR9zgfoxJawNOqRgxgksMQVH4V4tKTpGcfqwNDrFR2B7zHi2ui4OBJwiuaKN2hJuYJeWCKzlkfPXuL9D53hzXcf4FXHa3npNtkzHK0TAuXn7v3MMjAGQYZ1T5zLDXlb1rPepjOZKhX8tQOlCLUPkLLOUQ68Q2NqHZmFbqpY7fm6KL4shBkaEv255ao4dnsD3v++j7H+hY9xa/Q09YMDFo6URrJcbbN+6RGix5/liZteSbfkR3Fxjpc++SnqJ5osLKUEkbBwOPaNPlth7sIK0ePP8ge/dzOvfP3rOX7joakcd8PMNBbwlWaSzHB6rcvvf/YU6wnohSXCI15foANLqWooz1mCMeZZ5tMO1euKm+shqwNDa8PRy1MPaQ1B1VGumuH+lYoCC+1NIdCORIGq1omCkKzX4X0PneVAvcQdRxo4V2RSmX2OoVLMxUVsuh9BjAWXm8y1+BBerYRQC5m16DzzSaG82Iqi6i8UuZ0dlVAzF3sbRj8TuqlmI09alxiLEkOoZSKi7Wo4DpKU3/q/3sNbS49z3wOGY3eUGLRSksS7qYSx8NL7I77t0gofu7PGSukAmfFaxTc0L/OyOxQHby5jjaO1mifcqwu33ZKx+fQ5fuW330v1yG3MHTgyleNumJnGcnoDNhO4uNHnJ377CwBEN91KsFx42UDtQEZU8rm2ipqLMGn8+1Irod22dNqjBAn1uqZcVsN9V1Yyul0LWBaPwaGDAaceV2yuCZQrlO54Gf1HHwLGUqMGek9wbCfZ0FdKxNeVB29XaCcZ86WAjYEPvy0oLZZDFLsvbgskxtJNzZS1T3F/QjdTJB1BSbrt2Ctx3Jg4pSPtZpz9wjqnngnIMjh0a8S9b6jyTW+pc+zB3+HCI5a1dY0IHL8ppVJu4Jxj0LV89j0tnHMsLVni2AEjzjtx3BPBX1sR334PqlylNg833GpZWckQBXcshdx7IBqqIb/aSTm1mQ1zBAPctRRxx7GRYL7azdACN8aaDzzZHdaZL+qjvG4xZv7OjJOnLReenXxh+pl/+FszvM8ix14GNAMOVHyp7HFE2r+UhcYIfKKLS50AR8ZcrImDKzcWnyxCbdnmOFpLOd8Oh00ms3C2NdmgrobjQikcRj9unuuxFg246TVLoNa5cFa4fCrlU7+3wbEbM84+qzhwa4W7v7WEs47Pv3+T9KEOSJf1dcVNN6WIeL/DdqfHeucyzr10eL1pHKdlhykwU43li6fW+ODD3iQjYURpDqrzhjASlIZ7D0QcnwuojKUgHPQsnY7PMthoaE5UAm6o6mGKIPDpc1a6hvV1M3wJj88FHJ8LCCPh4YsJKwOD01BdsHTWJy3y453NLHN0+CCw5gDshmO+ZKhGPhGEiKDx06deaobuHcbBalfTGgiN2GeN2Q3j9VIqoaafeW1UoGCpbNgYKFJbpESdPPZqOI4beZ1xJO2M9ac7KCzz80I19XI8f1rR60K/mdB6NvOpjBJYvQzgyDI/DRaBVks4bW/iS6/5bzGfujTGaDvH3TBTjeX0aofPPdNELywT16BUM8SxUDIBN8/BrfMB8yXNIHOczUs1tBLvxVotK26ZDzhRDahoRWIdq4mlP7Csdy1rXUu3aynlXqdR4F+wft/x9HqKCgUdQqluyRKhv0OI6V7g2M8gNd4dZmB8D14KRllU+pkdm6cL3UzoZpBahh4BpdzYOb7gL1DUQgm1dw6V/I0TsWTO5yueHpV4ZY4FLhw8wcHyRYK105w9vzpxrLVw+XJuob8U4gY+71er2x+V7NBwYcVQiSucCY7xlaWXce7Et2A/84fEwW6RkztjZhrLMHlnFBHfchv1Qwk6dERWs2wi7rrRa2tS61jtG/70dB+lYHFOc2gxIFLCvfUQJUJqHOup5eFWwspKhnJ52h3le3al4FzLcHI19e7iArWKwhhHkjhqy4aWHjHzIa5u5jmC8+Wxne+9V3oBKz1fe3K54nJt1GRMupKijonQSX0JO4CDFcNcSVEOJvcV8Yv8VmJ83E6eR1iAZt8yF/vip+v9QsM0GlGuhmMxRXz4zjfiOk/Qe2Sd880NSDNCmxK40VRWaYeTBWw679d5m2tYaxDfhnm2FXNk+QBfvffVPP6S11Jka2/Ehnpkp3LcDTPRWJybdHEYR6MMd98w+v7YasIXL3jHxKWlgJfNhxyNRxZkgEdXEr7STFlY1CwvB9xbj2h3DZ8+O+DSpWy48I4iGeYjXl83DAYOZ4XeZhWXByeVAkcaWBID0YxzROBYPWUzUTTHHBLPtmC97+vEL5ZD6lFAL7M4Z7ih7nMNb52OXOoGXOpOWvaXK4ZKOFJtFylTQyU04oD53ChYDS3VfL/53Gmyn1kGzStzLJmR9f6rJ76Zx299DTiL+fwjvPbyp7mpP7K5HDuWEZccQpYfcwxjhHrdUjoQ828734m67y5cbfvccieOeyp9qw4c80dSVMEs76k/8kzPZy0MhcUljSA8sBAxH3qfnkHm+MiprhdaKNQbeqjdeejigF5v9JDvrYfUFoSN1PJ4P2NtzSfqLpWEKArYXIfv+at3cffYCtTtAY7ge+9aaCnpSS2PysNrCxf1IhgKBwerGc2+ppeNT0tk7L59Q+tmio3B6JVZLmf0MkVmBUdGIw6ohgFazNBBsp1ko2tdBcd+d5yCwuW2mf/vq7/EUdPFrZZYeaLD+fOaA3c0qC/lydet4/TZLvPzGYduDlk4UeGf2geh8hX+JHuATyX3DE/r0yWpXTlOw8w1FhEIYjt8iTYGlocvDbjcNZTKwtGyr8UIvipWoIT1vuGJ9ZTLXUu5LNxQ1syXNWf6GZ2OpdezNALFyxe85uNArCiHCuOg1bIkieOWuQDrNGc2fVqcB5ZrnIgtDbH0lJCNrfJnmWOsFTqcfOqJscP0SdmW0VHEZ6ypRYZoLH9pO9HDEhHg92nnaxHB0Yjt0MlRRBHpIuJViPT0zI7BVXDsbzlmTtq8Mf4id5RWKYthrafZ7If81+od3N1YpdTwDc4Y+HLtRm7JzlDbbFPfHHDrsQ1ENumrR1A4/jS7E/C2pp047tZeZrKxRJGiEQh96+hZx+MbGUEoHGwEHK8H3Fj2WQzX+hbj4GIn4+RGRhgKh+cCDpQ0gfN1UNpti1JwoKa575DPRbTWM7RSw1rP0On4F2SxrGl1ArrrijsbcIeGI4HNI/ryLngPcIyD7apdj+2xGn7d4O+rEhaWdw9jhaRwZcn/FyqfLkiLT+7nk+D5amXj0Z/FOmYrtBIyszvHInML3T719mVuC07zrfJfIIFWChdWQ77aafBf5+/irerzkJeMcCI8UnkpvTUhuXyBdW24r+FH0RM8QWBaPNWtsu6KnG/TOe42vMxUYxERdKhYXg547XzEqZ7hTD8b9gD3NkIWQu9u4Rx87FSPXuanJgeWA6xz3DsX8cxaysOX/ZpBAXMNTb2mKbKt/9mZPuv9yZfn8+cHDPqWuaDEO+/yC84kg2bfl2+rRnuDo3MME2p7vl7FW5nyZmTWDiMwt8JHM05ivmSYH/tej/Uw/n3as9wJu3FUic8yaZ94lntWn+GN0cOcARSWC5c0Dyc382cLeZS689MvAJc37Idq9/AQ99DY6LL44PsIMDgExQZ/057kp+09OYerM8KOY6YaS+noEeaigzhn+KMnuySZI4yF+XlP8+PP9olCoVbzSXLedGuFSPk5bWId7z3Z4YOXfcHTwpj3zfMxsRa0+Kz273+iS39KnfmkW8IkATqC9R5s5rHytchnqy8qbs86x6ebXhVb0nD70u7y1iJ5fRSPQWaHjozTUIv0xIgg5F7HW44p7eBRXOBqOf55cjtfTG9FcPxw5Y/4L90DfDE5SjTvf7/4pSZh4NXKBoUdS4bQcmXe1XkLf7v8ER7NbuTP09tx1tF3Z2glGd3U7MpxGmaqsaA1FsXFMxqne9y2GFKvKs4XIallH0CkRbi9GlAL/edLHcMjlxPyko0cbwTcshAQx4pqvs9aYniqk9Gb8hICzC0a0r5A1+vsDbBUFpbK0FrbOxxrkaFsfaDU003NjQ2ZPt1g0sAIkylTp8HXk5/cIdKCltEFepn1iSNyRUI11NuS4O3GsVwu8U9+8u/xS//n73HmyfNEcRlw/KfgGGc7Jbo2YXD6DL32Jo/UznFZewcZi+LC5lcwpQWCwE8DWsDvB4dp2oiL6SVs2uMd/+PbeelLb7kix2l4blaZryPKgeWWiuVlNaG9qbC2cNob7RPHijD0c3PjHBcGhqc3U55sppxuZZTLQrksHKj7BXaxz9l+xrmB5XIy6nnCUIjjkYDKFUtccvQNfGodugZCZYdJ3/YKx1Lg05UaC+t9WO15A+BWZNYy2JI6yIf76m1/09cXHt4b2aeQdYymWInxpbwHudv/eGrW3TiGYcBffMOrKGFIux1vBFGKr9obaZcPEFQroBSS50fWOv9TgmiNqDy5cf73hD3KCnPYLKW3tsqrX/NyFhfnr8hx6r3u+us3EI3Y8qpFqCjFQ5ugtfDURkbUMywuBsTKTzMc0LfwSMvXn9/cNPT73kI+N6eJlVAqKZqp5cvt0VtirRtZdxWUy0IcKjrWMDBebSjK0RXHb5yFWys+TLWXepWrIHuCI3hfsWau4j3b8nwOVJjwKE6Nt8JPK1g6Dd3UUgllotLW8FzW0exPn75tDkxegEieM8ewVqN29MjU89Y5yu2VU9yo/TQyc4pDndvpuNLU/XvNdbqrF9kYGGrR5Mg9znE3zERjEZFtNUaWlgI6Xf+yBQKvW4h5cCOhOTZFWVnJtuWmva8RsZIYHmpNdqf9vhs6Mi4uBgSBV+u++XCJT6wPSK0jiiylcsKzT45sF0OPXq33JEeAcy3vgnJiYbStFKi8xPbVYX7MF8U6WO+PZWXJhIudnSMwF0oGFdvnzPFrDed8ppgq27kWHPeU17EIxAGsr3tDURSN1JcCdLuWTse/UNZCraY41gi4rRoQBMJT3YxmvtBzzrG2ZrDWYa1Xcf7lm8uEgfiKUTLSFBaakfEp+eZAk1rZ5gcx6xyroSVQKZe7AYXOaXMAj604DlazK2QQnv5MGnEwXMhXQj1sPL3UYp3lSG3U8DupYnMwWsc8H46ZdbwyfJJvrzy2jY81wtlzmoVoY6ixVljevPZfmFtwVCrbp1NP9jW/JnUO1zJqtWxnjrtgZhpLKfB1Ausa3nIQPtQMCaqGMLQ0Nw1fTAZcHFh6A1u4+FCt+vqMmYKVfOXcTC2t/qjkXJJ4te1SWXOsrFkseWPUSmJ80VMHGy2Dsd61RKuRAI2TYdjsXuIIdiJrCvjRoJvCSnfndNuRdlTz1LGbA0WoHeVg5DTly8j5RluE8ZaCUbqh7lAr5ueim0nhfXz1HNuJY2WtSXeQcZPqc0Rvz7ifOehlwYSfmAALZoNlDPUpJUHWVQTUCVWRT3l3jtMwM40lzEtn1wJ446Lw8dWIxGZYk9LtZXy5PZZfSvzit1pVaC10jKOTRxymqaPXs/T7PgDrYEXTqCuWKpqDkWI979HXU8tG5nDWGwWtA+cUeRKQIWzu8GdxM88RyAsmCam1xNqRGChy0jhkajJs8BnsRQzOwcAIiRFC5Q2RBaatbwrjnnOOzHr3+VBBrC0D4xUdmZWr5mis4+kLbXqJoWmrPJWVt13TWuFCpDkklykVRkngUrhMF0d5ijbxvPEj23p7QKVaoRrqqRx3c6acicbiBe2GqkwHVAJYXw+wGuLqKHUn+BDcwrnQ5Wl1lPjkBRsb3ocqioRDywGvX4gJBM72DZ/f9IJVwEuqAQ80fCqjJ1VCkYUod+0aesimxierDpSdeY7VfCoeB0UlLe8kmdmhv/SOz6ARG2qhb5CXOgGHqhkLZV/GfPw5TYPksSjjaYV8sgt/L+s9TStRV8lxhIfTmznTu3U64QU4HnyIOt7OYlF8bP61foHf2757b7COdY/y+ZOrHJhvcKhemspxt3IUM9FYigX+cgUqITy2Av/wOPzBRfhUU9PbrFJudIb7ZxlcvDiaIx+fC7j/UMR7TnYw1k99bpgPeGA+IhD4cjvjwmA0ZL9yLqIRCJe6ho+e6jG/5K3Graamdzbk5+6AsvYZH2uxZbBhifJRZZY5jrucaCE3OPo4+V6qWO3t/LjXe5okExbLhmONdNisMuuG3sXTUAn11LqPKr9+s58yVzI0SuaqOF5sP9cV1fPHNI4z73XsnBtWni0HmpcswqkNeMMi1APhj1dg0CkTlQcobalFwgOHYz59ts/AwKW24TNZH2PxCSHmQm6pBWiBR9qpn/fjVbPNpuFzLUsgYASqeezI+kpAc1VTTYSKhpvmGEYyCuRl62ab4zhEBJyjEfvISOcsBysZtVjTzevDbIXOzRNFrZNxNfFqT08NudVKKAeW+ZJv6OVAD+vL4xy1yBtQM2uviuNyxXESx1/4rrfw5S98npNf+tKO781v6oCyLPp3CDhlvorZmrImx+LBg7zl7T9IGI+0iNM47oYXUp/lnwE/iK9QDfCTzrkP5Mf8z8Db8UbmH3XOfehK1/HlzCwSwFysWK4I8yVoxNA2wifXAlxqMcaSOu8WUswKBs7RtD7NUKmkQEFivVZ/JbG0+5Ys338wcJwfGMJQKJWEaqx9b93WHFKKly/60NqFXF2fWm9bMM7tCY5FcZ/iZYi0z+binRQtJS04Z4e+WXGghnVNvK3BKzEKzZuxfkEeKO90mRphsCXCsJ95x0uAhbKjih02mKI6l7ZcFUec5cYDNcLgdtLBANn1Bb57wj30xI77weLBQ5y492XMN+o4pUnNdI674YXUZwH4t865fzO+s4jcBfx14G7gKPAnInK7c2661WoMqXWY1BAoxXLZR/bNxVAR4VQPMhexmUCzb/j06R4giHIEgV9IF7jQM3RSS6kekRlHpzPSPBUIQ0UcaZIBrFwMWAyFbz7g+J4jcCzP4d1NLdY5AiVDY+EscxwYr2ESl0ddyiiUWIlgkoxe5h+DzxEmVEOdJ9d2RHrk02WsN4L6LCwa47w6t5MKJo8wLGqrZFbGst9ngKM+zMXFWJqlq+DoHPfePI8xlvD+l3Pv/S/f8X2xzq/bxkcsH/E4kqOPtSHnIhw+sIQRSye1Uzm+oPStu9Rn2QlvAd7tnBsAT4vIE8A3AZ++8rV8AoW1Xsq5dkgjNiyVHfcfCvhJvHD+ZA3ee0nR2/TRb1Glz0AyLl+enFdfBp46n06cexzNVc3l/mhIfttheP2yZbFkxgoQsc2Athc4DjJfkm++FAwX5aGSHVO3zsXbX4Niyll4K8/FAa3ET5UqNc/5fDvICzmNrr/W1yTWklm/z3wpRE/RMV2J41+8+9C2Y7ai2c+ItEx4VLeSbMKN53w7JDGT8rlajlvxQuqzvA6fAPz7gc/jR591fEP6zNhhRX2WreeaqM8C3pjVTRUHKhkHKyla+fokxmbcuRzQTgzf1xDeeqPm5Bq862lo92LS4oUav98rrBPftKR43Y2jnV6+DKEozrVHvf9cbKhFdiK/76xzbCcZsVbDuiSbg4xSoHJ1rUdrkOWxKDtXIPMpXHOa+Ydq7kZvnV/0H6xmbPQ17S31abqJop9HXVqXDUtFfK05NuJgaPcpUA0DKiFX4MiOHL8mFvwp9Vl+EfgX+Mf/L4B3AX/nas83Xp/lznvuc8DIWAQTnrLGOYwzVCNhXgmHgHnteLsz9I2fTsS7FOocu+bQcHY0chyORkIepNBzwrhvYTtRflh3bvhizzpH7yDocHm9xFCrbR61497FxfUcO9c1KVBsK/wNA8VUL2WL5C4+jrWev1ao3J7guBued30W59zFsd9/BXh//vV512eJ9Kha7Vb0M0slLAZLy2IZvuOwd/OOtKLhAwxJjUWJTBWkddAauFyzBa1klLJnY7D9mgOjhnmudK5S3AscjXOY3DBXi/TQw7aA5J4nxbZ+NuJYuIDtxtGnYPW5k0O9W1qhURnvSNs9wfEFGSV3qs+ypU7kdwOP5J/fC/yWiPw8foF/G/DZ3a5hrOOJZ7e7NVwttJJhOGpq/KJ7t/gEr9VymLHquLshHWQEap/j9cBxN+XbFUtOiMjrgT8FvsQokPsnge8F7sN3AM8Af69oPCLyU/gpWYaftv3RFa5xGegAK1e4l2sVy1y/9w6zdf/HnXMHpv0wE/VZAETk8865B15sHi8Grud7h71z/zMTKbmPfcw69hvLPvZxlZilxvIfXmwCLyKu53uHPXL/M7Nm2cc+Zh2zNLLsYx8zjRe9sYjIt4nIV0XkCRF5x4vN5+sBEfk1EbkkIo+MbVsUkQ+LyMn834V8u4jI/57L42ERuf/FY/7CISI3isjHRORREfmyiPxYvn3P3f+L2lhERAP/Hvh24C7ge3Ov5WsNvw5825Zt7wA+4py7DfhI/h28LG7L/34I+MVvEMevFwqv9buA1wD/IH/Ge+7+X+yR5ZuAJ5xzTznnEuDdeK/lawrOuU8Aa1s2vwX4jfzzbwBvHdv+m87jM8C8iExPnrUH4Jw775x7MP/cAgqv9T13/y92Y7kBOD32faqH8jWKQ2PuQhfwwXVwDctki9f6nrv/F7ux7ANwXiV5Taslt3qtj/+2V+7/xW4sz9tD+RrAxWJ6kf9blNG95mQyzWudPXj/L3Zj+Rxwm4jcIiIRPhz5vS8yp28U3gv8rfzz3wLeM7b9+3Ot0GuAjbHpyp7DTl7r7MX7d869qH/AdwCPA08CP/Vi8/k63eNv40OzU/wc/O3AEl4LdBL4E2Ax31fwGsIn8Z7eD7zY/F/gvb8eP8V6GHgo//uOvXj/+xb8fezjKvFiT8P2sY89g/3Gso99XCX2G8s+9nGV2G8s+9jHVWK/sexjH1eJ/cayj31cJfYbyz72cZXYbyz72MdV4v8FpOA8i23j0toAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 216x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import gym\n",
    "import time\n",
    "import numpy as np\n",
    "from gym.envs.toy_text.frozen_lake import generate_random_map\n",
    "\n",
    "# 设置随机数种子\n",
    "np.random.seed(233)\n",
    "\n",
    "# 创建FrozenLake环境\n",
    "env = gym.make('FrozenLake-v1', desc=generate_random_map(size=4), is_slippery=False, render_mode=\"rgb_array\")\n",
    "\n",
    "# 重置环境状态\n",
    "env.reset()\n",
    "\n",
    "# 创建GymHelper对象来辅助显示\n",
    "gym_helper = GymHelper(env)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3e854948",
   "metadata": {},
   "source": [
    "### Q-Learning"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f71fd457",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 初始化参数\n",
    "num_episodes = 5000 # 总回合数\n",
    "gamma = 0.99 # 折扣因子\n",
    "alpha = 0.1 # 学习率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "5e018751",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 根据epsilon-greedy策略选择动作\n",
    "def choose_action(state, Q, epsilon = 0.1):\n",
    "    if np.random.rand() < epsilon: # 以epsilon的概率随机选择一个动作\n",
    "        return np.random.randint(env.action_space.n)\n",
    "    else: # 否则选择具有最高Q值的动作\n",
    "        return np.argmax(Q[state])\n",
    "\n",
    "# 更新Q值表中的值\n",
    "def q_update_value(state, action, reward, next_state, done, Q):\n",
    "    if done: # 如果达到终止状态，根据奖励更新Q值\n",
    "        Q[state][action] += alpha * (reward - Q[state][action])\n",
    "    else: # 如果未达到终止状态，根据Q-learning公式更新Q值\n",
    "        Q[state][action] += alpha * (reward + gamma * np.max(Q[next_state]) - Q[state][action])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "aa9cb274",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Episodes: 5000\n",
      "Max Reward: 15\n"
     ]
    }
   ],
   "source": [
    "# 初始化Q值表，形状为环境中状态数量和动作数量\n",
    "Q = np.zeros((env.observation_space.n, env.action_space.n))\n",
    "# 记录每个回合的总奖励\n",
    "total_reward = []\n",
    "\n",
    "# 开始循环\n",
    "for i in range(num_episodes):\n",
    "    # 当前回合的总奖励\n",
    "    sum_reward = 0\n",
    "    # 初始化环境并获取初始状态\n",
    "    state, _ = env.reset()\n",
    "    \n",
    "    while True:\n",
    "        # 根据当前状态选择动作\n",
    "        action = choose_action(state, Q)\n",
    "        # 执行动作，获取新的信息\n",
    "        next_state, reward, terminated, truncated, info = env.step(action)\n",
    "        # 判断是否达到终止状态\n",
    "        done = terminated or truncated\n",
    "        \n",
    "        # 对于FrozenLake的佛系默认环境，适当调整奖励\n",
    "        if 'FrozenLake' in env.spec.id:\n",
    "            if terminated and reward == 1: # 游戏终止且reward为1表示到达终点，给予高额奖励\n",
    "                reward = 20\n",
    "            elif terminated and reward == 0: # 游戏终止且reward为0表示掉进冰洞，给予反向奖励\n",
    "                reward = -20\n",
    "            else: # 每走一步奖励为-1，其实是鼓励agent尽快完成任务\n",
    "                reward = -1\n",
    "        \n",
    "        # 更新Q值表\n",
    "        q_update_value(state, action, reward, next_state, done, Q)\n",
    "        # 累加奖励\n",
    "        sum_reward += reward\n",
    "        # 更新当前状态\n",
    "        state = next_state\n",
    "        \n",
    "        if done:\n",
    "            break\n",
    "    # 记录当前回合的总奖励\n",
    "    total_reward.append(sum_reward)\n",
    "\n",
    "# 打印回合数和最大总奖励\n",
    "print(\"Episodes: {0}\\nMax Reward: {1}\".format(num_episodes, max(total_reward)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "5ce4297c",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fe6652a9820>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(total_reward[::20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "cb7e0f3e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 重置环境，开始新的一轮游戏\n",
    "observation, _ = env.reset()\n",
    "# 创建GymHelper对象来辅助显示\n",
    "gym_helper = GymHelper(env, figsize = (3, 3))\n",
    "\n",
    "# 进行10步的游戏\n",
    "for i in range(20):\n",
    "    # 渲染环境，title为当前步骤数\n",
    "    gym_helper.render(title = str(i))\n",
    "    \n",
    "    # 通过已经求得的Q值表，找到当前状态下的最优动作\n",
    "    action = choose_action(observation, Q, epsilon = 0)\n",
    "    # 执行action，获取新的信息\n",
    "    observation, reward, terminated, truncated, info = env.step(action)\n",
    "        \n",
    "    time.sleep(0.5)\n",
    "    \n",
    "    # 如果游戏结束，则结束当前循环\n",
    "    if terminated or truncated:\n",
    "        break\n",
    "\n",
    "# 游戏结束\n",
    "gym_helper.render(title = \"Finished\")\n",
    "# 关闭环境\n",
    "env.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "28a66eb7",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 12.97759187,  14.11880599, -19.99993542,  12.97760668],\n",
       "       [  0.        ,   0.        ,   0.        ,   0.        ],\n",
       "       [ -3.8       ,  16.4357769 ,  -3.8       ,   1.1676162 ],\n",
       "       [  0.        ,   0.        ,   0.        ,   0.        ],\n",
       "       [ 14.11879224,  12.97658263,  15.2715212 ,  12.97757855],\n",
       "       [ 14.11877283, -19.9998333 ,  16.43588   , -19.99997973],\n",
       "       [ 15.27142302,  17.612     ,  17.61198346,  15.27013776],\n",
       "       [  2.94718571,  18.8       ,   8.0543957 , -11.3906558 ],\n",
       "       [  3.16091629,  -9.37118   ,  -6.878     ,  14.11870909],\n",
       "       [  0.        ,   0.        ,   0.        ,   0.        ],\n",
       "       [-19.9999722 ,  18.79892286,  18.8       ,  16.43586319],\n",
       "       [ 17.61191139,  20.        ,  18.79943031,  17.61194834],\n",
       "       [  0.        ,   0.        ,   0.        ,   0.        ],\n",
       "       [  0.        ,   0.        ,   0.        ,   0.        ],\n",
       "       [ -6.878     ,   5.02113275,  19.99990156,   3.34628   ],\n",
       "       [  0.        ,   0.        ,   0.        ,   0.        ]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "252744c8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([['下', '左', '下', '左'],\n",
       "       ['右', '右', '下', '下'],\n",
       "       ['上', '左', '右', '下'],\n",
       "       ['左', '左', '右', '左']], dtype='<U1')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array([\"左\", \"下\", \"右\", \"上\"])[np.argmax(Q.reshape(4, 4, 4), axis = 2)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6abffb6c",
   "metadata": {},
   "source": [
    "### SARSA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "799a9d26",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Sarsa算法更新Q值表中的值\n",
    "def sarsa_update_value(state, action, reward, next_state, next_action, done, Q):\n",
    "    if done: # 如果达到终止状态，根据奖励更新Q值\n",
    "        Q[state][action] += alpha * (reward - Q[state][action])\n",
    "    else: # 如果未达到终止状态，根据Sarsa公式更新Q值\n",
    "        Q[state][action] += alpha * (reward + gamma * Q[next_state][next_action] - Q[state][action])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "3cdd57d1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Episodes: 5000\n",
      "Max Reward: 15\n"
     ]
    }
   ],
   "source": [
    "# 初始化Q值表，形状为环境中状态数量和动作数量\n",
    "Q = np.zeros((env.observation_space.n, env.action_space.n))\n",
    "# 记录每个回合的总奖励\n",
    "total_reward = []\n",
    "\n",
    "# 开始循环\n",
    "for i in range(num_episodes):\n",
    "    # 当前回合的总奖励\n",
    "    sum_reward = 0\n",
    "    # 初始化环境并获取初始状态\n",
    "    state, _ = env.reset()\n",
    "    # 根据当前状态选择动作\n",
    "    action = choose_action(state, Q)\n",
    "    \n",
    "    while True:\n",
    "        # 执行动作，获取新的信息\n",
    "        next_state, reward, terminated, truncated, info = env.step(action)\n",
    "        # 判断是否达到终止状态\n",
    "        done = terminated or truncated\n",
    "        \n",
    "        # 对于FrozenLake的佛系默认环境，适当调整奖励\n",
    "        if 'FrozenLake' in env.spec.id:\n",
    "            if terminated and reward == 1: # 游戏终止且reward为1表示到达终点，给予高额奖励\n",
    "                reward = 20\n",
    "            elif terminated and reward == 0: # 游戏终止且reward为0表示掉进冰洞，给予反向奖励\n",
    "                reward = -20\n",
    "            else: # 每走一步奖励为-1，其实是鼓励agent尽快完成任务\n",
    "                reward = -1\n",
    "        \n",
    "        # 根据下一个状态选择下一个动作\n",
    "        next_action = choose_action(next_state, Q)\n",
    "        # 更新Q值表\n",
    "        sarsa_update_value(state, action, reward, next_state, next_action, done, Q)\n",
    "        # 累加奖励\n",
    "        sum_reward += reward\n",
    "        # 更新当前状态及动作\n",
    "        state, action = next_state, next_action\n",
    "        \n",
    "        if done:\n",
    "            break\n",
    "    # 记录当前回合的总奖励\n",
    "    total_reward.append(sum_reward)\n",
    "\n",
    "# 打印回合数和最大总奖励\n",
    "print(\"Episodes: {0}\\nMax Reward: {1}\".format(num_episodes, max(total_reward)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "d66c793e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fe665d66160>]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ZAG57bF9sexLlItI7e+0EpkYHlDbLGKwDLM8fxe/JYUwKiQmjA3x2uTfS5F982gr0N5JvbTV6TsiHUuEnmrwZovPNTo3Ehb1l5RiOzDexGDJsnB7l4VnyrkgDSDeM2amRmIvfMDWCwb4G1owP4cd7j+BN//8t+Ng3HsJJK0axdnJYaTjzkmBaaIZ4y/W3YuvvfQtv/5vbQQS8INIYRYM9cGwh1tzkBi/4ef7t3LAKAAeOLhiFvPjmy7fMYGyQN0RhHJtfDDG/GMbaJsC588G+AN996Bk8eeCYVD5pIS+XgxhMLtsyg6G+Bo4vNHF8oYmh/kYswES5mjqbEPKJJi80Ov67PPU+MpfQbK5akohHFm7y/Zfu3BXfy4MoT2Madzz+HB6KDHfHFprYe3g+LpON06PYte8Y5habeGL/caVNyRCzAhNmp0ZwbKEZz/L2H13A+uXD2DQzGv8t2sbM2CDXag/Px+Um4gB4/Qghrwtz0R7E4zsefw5v/R+3xuk2ggCXSmUqNHYh3OX+xgCsGh/CQF8Q5XcEDUkqysKNMT7bFlV/wewkhvsb+JXP34X3fuFu7D08h4nh/ljhIKLIPsTfXzE2iAPHFvDUgeMY7AtwdL4Z05Sin8htMIjC87TTCpuOpH2os3lXTX5Y0+RnxgZxwexyDPc3cMHspFMcZdBzQp4ZtMGQMaxcNph6Jgv5l565Cu972an45Su3xO9snBpJvSvSANJGsg3LhwEAy0f6MT7EhemGqRF896E9+P6Pn8OlJ0/jw68+E4DacHbvPxbHcWyhif949FmsmxzGNeevxe+89qzY2CMarHwvDFEJZSMaLcUC/cAxs5C/YMMkPvjK0/G2SzbGXPZTB7iQF3SNrMnzae8Uvnr3E4qmJjrbsfmmMuOZGO7HxHA/3nX5ZnzoVWfgjDXLMDzQwLFIkx/ub8RUhCjXLLpm+zOHsGyoD0MRxUDgL8sc8uHji3jBSdN4/8tPS9ELNpBBGZA79Jfv3B3fi7REPi/bMoP5Zoh/uTfxCuLaPL/fND2C+WaIu3fsRzPiyUWZhQxYv3wYH33DOYpA1jEr1bvABokOlN+ZHhvAs0fm8dzReZWumU6EvKDkuGLAsG5yGL//hnNiaku073t37cf3tj+LA9GAHRDwn39iC151zpr4PXlglts0Ywx9AcV9YoP2DVeevgLvf/lpcVkwSWgO9jXwkdefjc0zo/i3+57C3sPqrCROJ6oL4YXzyJ7DePFpKxBQUmci3bPXTuC6q8/AOy7dhCBI6tdEveoQ7UwV8gxw1ORjuiainYYHGvjAK0/HH/7kuQod2ir0nJAPpbKXKZEpaZop3tux7ygC4m54Q/0N/PJPnILT1yTT142RpiQL+RXLBq0NQ3Q0vfMJAfsHP3lu7LYVUwTaLOHIHDdIvuLsNfjI68/B21+wKYlrOt2pA+K2BSE0QmkAEgL9oCTkxyUhHwSEX3jRyVg5PhRr8k8dTIS8rskDXKiJuIRWKtIUXO9JUbmJPK6dHMbPvfAkEBGG+hs4Nt/EsYUQQwNck3/y4HHMLTat2tHkyAAC4kZpWRiKzq4I+blFrJ0cxnuu3KIMUFlIPFDS3Pvpq5fF3wsATWkQBYCLN09hoBHgwLGF+Lt37jsahxdlJHhpuczCiLKRXWxNkAWkXLamQX9mbBDNkM/qVsh0TWQzEpQXzwPPx2mrl+EtF8+mNFZRHGKmFASEU1ctiz2QQo2Tl9u0oN6SPjGsfNNgXwPvuXILxof64rKQB/g3XLgeP3nRehydb+Khpw4pA5Y+uAsFbqHJsHlmDOeun8SBYwuKshUEhJ+/4iSsnhgCEcV9WLax2KB70PF7H06e9y1BO40O9OHC2eV4zXlrs4JVhh4U8izRLGKOMD09DhnDzn1HsWZiWBEGojP0BYR1k5Fmg8Sg1h9QbMjVG4boaBsMGtbpq5dh5bKEk5QFiyrkuZZlElDjQ/2YjAynOifPtEZLmiZ/0KDJyxBC/umDqiavaxovlLjjTbHA4n+L77h0i0ovyRjub+D4Yoi5hSaG+wPMTo2AMWD3c8eshtdGQJiK+FhVo4s6O1OF/LIhP6exxGAo92J+eaHGlQvBIupvZKAPF26cBJDQajv2HY3LZGM0MN8cC/lkdmijp3Ssj7ThgIDnnzQFgJft2GBfTF0JBUAeBOX70cE+zIwNxIMNkNhwYiGNREjL5aF725A0GMh2FPEljDGEIX/PpPjICAKKZgQsVRairB7ZcwQrTIM7UzV5/s0Dig3LBEIyoMv9xQYTJy/TwnnQNXnxd7vQc0IekjYoN9pQk/JCuOoNQXSG9cuH0YhGCVkQC40ZSNM1Rk1+WjX8CMiCZack5A9nCHkR90BfEGsvhGR6DEhal6TJC7pmqD+wTg9HB1W65tj8IpohS+XjzDXjmBzh/OjqicG4fHbvP4ZvR+sNRCfTp+gAuJte5J4pOHkgEYy2ziaEu0JrGDT5I3OLGB3060Sy98RzR+bxxP5jcR2/4ORphUsWroGyFie+95SVY1g9PhR9C39v/fIRBMS9fQYaAdZMDMVp2egpHUP9DaweH8LayWGcNMO9h2SFQjZqTkuDoL6gacPUSOzRIvIgl7ksvMXvgExRqV5rKcOr8pwL7Q15Qj7Sqk1CUw6jDO7Cqyo0CfnBuK+Z2l+SpvqNWWOtXi4AtyF4e9dIdE070XNCPpS8axLXOJYyvoaMC7Q1k2kXu7PWTuCstROKQU4IP5n31gXSlpVjGOwLcNbaifjZGWvGQQS85IyVyrty3E8eSFYCCiE/2DBXzVlrJ3DmmvG4ocucPKB2SEXIH12wavEAYu33YLSKN86HJuSDgPCS01fhjDXj0iAI/MYX78Vnb9uBmbEBXLx5OiqH8VQ6w/0RJz/POfm1k1xLffLA8UyhJzqyStfwlxeltQWLIcPYoP07TZCVgT/8xoP4hX+4Iy7P8aF+vOCkxCgq2zwErjx9JQICzlw7gTWTQ3gq+haAD9ZbVnLBvGXlGPoCyS2XsTjtPJy1dpz/XzeORkCxZ87Z68ajuuDxrBhTtVoZsjePyIPJBVKfFcqKAy8vxO+p/U0I38T75Ox1vB+dtjrdFkRcIh96f1q/XBbyaZvFYkzXDCnvXbhxElOjAzjT0P7Ed6TpmnxNXje8uszCAGAkUqD2RnSNoG/ahZ5bDCVrBLIvesgYXn7WKrzu/HX4pc/ciTBkWGiGGDAI07/86QtBINwZLdcW74q4mKVhTI8N4j8++BIsH0mEzKmrlmHbdVeltCq5Q8mLOrLoGgD4rdecqXiTBAHFGhXPq4ifaxB9AcWafJaQF3SNgBD2pnx85PVnYzFkeDbSTELGcGR+ERfMTuKv374VU6MDqXIQEIZX4V3TH5X/YqhO/XUIWmLaZIDTZmljnpq8rKkdPL6IQ8cXlIH8r952Ef7qpkfxZ9/+UcrwCvCB9/tRHfc3AiyGoeLl9IVfeAF27z+G9ZOJfUZQiIGjmvXnP3UBCIThgQa+f91VsY3pQ69S24NC12jOBr/1mrPw05dsxOHji/hP198a9wsx0CQzmkjLjcKlNPlAGgzkmXOsVCWa7iUnTWPbh16asokJkEQ36gP8UH8Dq8YH8fRB1ec/pumifI0ONmLlYWbZAAb7Gvjur70YI5Z2wL1zVE3ehZOXWSvZVTsPI/2JJj/YFygzw3ag54S8PI2KvSYYAxgw0NeIFwMx2EdjMdKqjVZKIaNhmBqzLuDluJOpLW9wR+a54bXfoskLzxIB4Q6WGMnCKH6KeXkXIT+qC/lIGJnoHZGH5yK/XzHdnhzuj4WMrVMP9XMXyrmFEMMDDUWwhKFdoxLxmjR5nTMeK8jJi3zI9U3Ey2Y0mmILgaq3G1HHQkuUjfOTIwPxVhVigY9MabhA1v7kstXbw8RwPxoBoUGEZVqdDvU3cNbaCcWbSR5o5MVMIo9A2g4RaG03nglIi9NkGsfWFkRcjNkH+NmpETx90OJdIylb02MD2PXcsdiXfsKgYCThKTVbcdHkZSnA26o1iAJBz8wthkbFp9XoQboG8XxS1pZFY1SnXtmcqOw6lRhqJE7e1YfKANnzJ2QJLZKnyafzqOZP17pchbyuyR/K0OTjtKXO5sMvH53nPt9DfQ1pis8UX2kdMwa6RryrbzvhTdeI7wj5QCOXp843mzR5GQElhkQ57vh3SQtmLFu4FEEQEKZHBzAzNmAdQOQ8yAONKydPUh9SOXlE4RLFJTe/RFGZm8si9hpaZq93It4uAsoeUJI00y6UWYOtSZP3WfEqa+/tpmqAHhTysmuTqILYkwG64M8bwaG8m8Rl7sA+SPImNlzio723kI8NVyp/KuIfl4T8eIaQbwQUL3EHEO/4p3PyMtSByq3RD/c3YqExPBAo2mNWfQi6RtboSBO8Av6GVzkPkaCXaC+eFr+KmZItn8nMStSD+p7aJt0GRl/MjA2mqBo1j0ke5IFGdoEEkm9IZocivGWQkGwbzJGzFgJXp9wE4kVeo+kZXCgNPjNjg5gaHXCiQojS35gVysTJM7gP0EQUUzbt9qwBepGukbg9uTEKGsc21TRBnX5GI3+Y1vKKQG44jPHNmQ4cAw4JIW+ha9LxJLMBQNK6ouATw/3Yf3QeB3M0eYDTHMei7W6FJu8i5EOGyGXOTcjL9xRFH88GGuY4Lj9lBq8+d41iTDP5yQPAMk9NXjfQy5q4VZO3FAtRolTIcSdpuQ1qZfCW589mtmvd60x+VbQn8Ttg8q5B9DvT+lvy3HUAE0qKzT7xirNXY+e+Y1g7OaSEUfMFvOHCdThv/UR+glC9a2z1pL7Pr/L2KK4zFYGRwQYOzS3GRth2oueEvGxIUnjvEABpxtgwmxNVNPkwMUbFnHyJeZBuFC6qyceaY/S3zhlPDPfj0b2HcWhuMVfILxvsi/dfd6FrinTqof4kvsH+BlxnVmsmhvEXP3Whln5awwL8OXlZgxUDpq5X6lsoWKkQbWalf49eZi1Q5PG2SzZm/q4PanK9qQJQnR3aNiIzzQRcZ3ZE2TPB01eP4+NvPk8NE12TwZ1w9Tmrc9NK0jRw8hmNN1kRLWnyzG8mz2mauVijbyd6jq4xedeIqgkiYyR/T52qmiG9Gz2RqZsynDw3jPIIjZy8oyafaI7JTANQOXmxV0mekJeNr0Kjz1p2rQpHN610SNPkU0LPo+eIN3VO3peuAWRhY+Hko4w2DX7yMoQmHCsC2nuyM4ArpVE1soSxGKTE70DSpkzcvWJ4jZWiZDFUHsSg4jOr0RdD+VJeASUCW9RTJicfXWVdwoeTB5IZbCfomp4S8smeMqpmwaTGmOaR7fHJmrw88rsshXaBrPUN9gshz4WrjyYvu3XqhsGJ4f4477l0jWEq6aLJi7J04UPlhSDDkiZvWxCThWTaHirPfekaIJkRiQE9nsYHalq6VmuKR9bkKdB/51dBC7XZmw6AutpazHDl32JhJtqUhbpK711DcjAnIcgFrp9LYjzgagqNK+SBzG2DsvSM0VWpERCKRyfomh4T8vyaGIj4NTYEgRTBHbLsaZq+gk+/L6uFCaMTY4nmLg4r8dl3Je6skIUQz9tMxgpIHUKTl4vEiZMP3b0pFE5+oJHy0PEp0YSTV5/JlJArCEldmDl5kZYw1JlzSpFmahN0apm1hpPPg+LRZNDkdU7eRteIctcNsj70XaKkeBgyo6vu2ukKk3dNpgNGbDdKnvly8sORV00n6Jqe4uRtxjKhoQVBmk/Mqig9vLhPfi+XX9kzphEQ+hsUnxvrxckjmX4mQojjjRetx/hwP/oaQeZ2tkCy6nVqdDBegp0lMOWyLELXDPUHULVCvymwyU9+bLCv0OArylFQB7HCoKWVeNfY4knalum9FJ/dATVLmU1AzSMpAjBqU029X/F3U55GklLlw8n7ehqlDa+e9U1kGMzz05M3sONKozuEcG/3lgZARZo8EX2KiJ4hovukZ1NE9C0i+lF0XV5FWllIuPcoD9HfibcDaZpjdgNRuccoDXkqXlILI8g+xYSBRpDsXePNyfO/5cVQALBsqB9vuHA9XnveWusCKwFB18gHQww0MhqlVD5Nx06qCnmNrnH00ImT17RrgH9vEYhyFPWr13FKk88wvMreTimNX2tT3czJi1JdDNURz+TdIl8TGic/L/K6Alcbl06fFNHkeT6lODLSTuRI8sxXIRGrb4vYi8qiKj3i7wC8Qnv2AQDfZoydAuDb0d8thd4x1X3C/Tn5RMjLbmUs5UNdFKrRCejvCzAXHSDi7kKZzcn7QNA18oKSwUxNnl+ZQVjYoLtQFvHQSdJXtWugeCcSXDSv3/SqZmdOPtAHCT3P/Co0yY5z8powNmryFhdK3dNIdwt285NPFkO5ykyypO8KNZ9qnFnv61tRewn5AWF4XaKcPGPsJgD7tMfXAPh0dP9pAK+rIq3sfPBrPHs0NGZZcOdVVPJb0hhUw2u5HhqQ3NlJ0bR9OHlZk0/8uP3zFtM1Y7Im70LXMHc/+QGdk/enfATkmZaAyXjsAqFRMpasqxDP5Wte+cp7lcvh9L8TF8r2S/ksYSwM0EB6q4w0J28uIx8jejKDchea+qyqiHcNoLlDO8gBqVoLulCqSk670EpGcBVjTByX8xSAVaaXiOjdRLSNiLbt2bOnVIJ6hZkMTGonyxZMOn8KqPvYlJ1pJ54Y/H6ggJAPiABtpsGf++fn3PUTOGvtONZIZ3Fma/KygPb3kx+K3DOV/Us8WqRuAJweHcDzNk+5R6DFFbtPIln4khgV+dXNu4ZJrqzmPJv48HZB9xpT/eSTtmTbKiOZQanfSEq8rpy8tEGZY93LbtByflyhbssgBm37+8liKFmT90tXaPJLma7JBOOthVl+u54xtpUxtnXFCrfj2mxI+DUOecQWlSJ73MjvmGDl5AtOE03xJ/7hiA/3bQTkvFMdafkrOoUFgBeesgL/8l9eqCwmytLk9fLxpmsGhJAnNMPENuGKhJPnEvk3X3MmPvjKM5zDK3HBzMmnNPmmavPQIWZnNq8NpcxyFuO1CrbFTOI33U9e92KJy72pGl51BcrZhTKm6tzbPJBsMe1bgiaHisy0NZnBw3queB0QhtclStdY8DQRrQGA6PpMC9MCkK4wdS8NVfg1c/Yg4b8heldt5C4DhAuSU3EiTT7S3l35eJ4HUoSS7l1TBCIfjYDQ50DXAO6eIrLhVbhn8u2S/ematCtf8a9WOHkDV6vzwLZ86vWR5uQTAeP7vVUjns1Kz5w4+UDV5M30qMcGZUxw8q50jarJ+9a7SXlzOxmqOCffSRfKVgr5GwD8THT/MwC+2sK0AKRpFLEQJTnmLKFrkhN+7PHp08I+sQijIk6ea48J1SE4+X7L/i3mPKpunaaTi3whVrlm+cjzNPhV+Hy7dLbBvgBEnLaRPVdcDOE6Yo2yBEUlIAZcMevL5eQtaSUzArMAIqXMOmN4lduGzsnLNgXRrpragJXmxHVNPlmXkp8X2T7hmP9ApK/mxxXq+pl8pcjEyfsu3BNbVdv2uG8lqnKh/ByA/wBwGhHtIqKfBfBRAC8loh8BuCr6u6VgmkYn6kBoaERyBedrAekBQZ+yl8uvrPXJhtcBjxPcZS4ZKOE7LCGeUeQKeXWm5Loh1VBfQ6FtVC+jApp8M39WlpsvJPSF4gLpqckTyVvn2vMc22I6IOXlwVmfTbhw8kJ4pxdJRfF6DNjKBmWORZEc5J1Nndmg00ryM/P7iN8XYJ7pCs+10Q7QNZWkyBh7i+Wnl1QRvyt0o2MyAicbMekN1IGKUzT5OTlsSc8IYXQS+3wImiZPg1bjUFe86lpXEYj08/JBqU7tlujwQANDUtzyQOWTb/FqnjHUBXwxFIuFr42TD3PaTbx3jeUM0NRePcWzXBhpTl79TV8Nqs96dUNkchSlFq9DhcTt14eTT80knIJJ4SXKDPlx6DQtD+s3C7vilBW47uozcPa6Cb/MVoCeWvEq6iDWOKTKEUa9dANx0OS1xlzGg0WNX10M1d/HI3T1rBF5NHHy5egaN01elKdsV3DBcH9D8doRPLA3J6/VRxlLRKJRMo2rjdJKUUPmtHSPKVM6QOJd05nFUPyaeJglv8kulCk7T9yvIk3aMBsOCAATm6/l50Wk51P38QzOgU83h+dXWTnKPjREb2eJPHHF8EADP3/FSV75rAo9tXeNbuzSFz0QSUYjJ04+ijfUOPmYCyzXQcVCEDFVFZq8n+FVdevM2+/cBYkmn08bFdHCB/uD2H1SxCEoNb/FUPxalJuVIQYrIXCgCXPXpfTyYqhcbb9DnLw60KgaNB9wEf8OmDYoi54bNGnRHlyFtsLJu9I1cfrFaFOTa3RWPcTfIWnyPsf/dRo9KuRVTV7WFHR+LVOT17wIGpHkdPHMcYHcwGVOXmj0LpA1UDmvZagkIdxdBhvxDT6a2HB/Q1kUpZeDK3w8pfKQuD5q2mv8uzarsyRFDkKuqA2iSiSzSFWLFYMdYF9FnS4LfZDw5eT92o/uVeXvJ8+vsheVPyffGffXIugpugZxhfGrEHSCIyWkG6jLPtJNTZPX9/IoCnmDsoAIgaBrPDR5mS7hec3eQMsFgqbJWgiVpC9/g1v865cPK7OEQOroZfaTLzN7kQWvEqdFe832kxc+8JZ8k5kPbyeSMs/g5MXOpsIfXRPyJk1ebg/u3jX8/T5nIc+vRWlT02KorKRlV2wBX++aTqKnhHwie9WOySSO1MdoozdmsUDJtprRFzFFEN0n3jXFOfkyi6EEXA2vPH1/w9n/d+0Fyt+JYPAr05QxtAwnD9WlzrrKM4fm4wbc7BWR3AOnc4eG8DwkHj46J5/QNaIsVC8W4ZqcCH+Swss2mvx88IVwoecsTu2XvvWuyoX8Gb2s+QswxhB0YgvRAugxIa92QN3aTyR51zj4k6eMbYH2dwWcvKB/OV0TafJeLpQJHQVUMwAlLpSunDw3YLm6Aw5pC0JUjto944kBLl8by4M4Ek6UYxxnfGhI9NzhIO9QzBytA0HaftRuJN9r4uQjTd46q7HTZPJMwGUAsw02WdC3mCjOyacN7FnvSzLeK7+dxtIYihwh6kCfYstUQJDqrPb4Ys63KegaXlx5vtKuULloFFrxmnCaQusScZfR5N0WQ4l0ylIPwgDt7UKpdfZSnHyQzEiApM5FjGmaz54nk/+5khZRZcb7orBx8kLxACT7hKY8pYSsEq/ft3Gju3BxdqVr9Bl1cU0eyI9DKHdlVrx2Ej0l5OMNhDRNXj7iy4uT1xqzoGuazWIahA5VQCaGVy8/eSSaEFCNEdJ1MRSgG9qKpZkMdn75jrXrClb5EjRX1JRHic5D2wV4nqeQoCj4feEslwLPQ3rWpy6G4s/Sh4ZoZSE1EyI/u5DsOOC8GEqbYftWu8rJI8prhhwwcPKdpNp80VNC3mQpJ5IaA8i5s8q/xZx8hfSACC+oDnFoCOC3rYHQhNKcfPF8+XHyQqgVb/SKsc4jiirpmtgVNR4szYbXvPJ18RQiqsZ2UgYEtV8kzyk2uDJtwBNZzZpBEdLrSrJQxKbj04dNEG8z5kZvGr1rOmg090VvCXnD6jV1+phwrG6G1+hdZjO8lqVrCLK/dCHDa6By8kXPvZTha3gtc1AJkFAlPm50PD21PsoJ+UijjP5O77zorsmHOYOeqkV3iq4ho4AzcfI2I7TJ0ygIyKsNxuXlcSpYYh8p1u7MnHzWjD5iBKRnISvtXNc29JSQNxlROJ2RNLosH18dpAkRIeSr4uQ5f5t4YlTpXVMFXeOyGIqISqcpf0ORxVCV1AdpnLwmqFzTkm0kWbx9FVsxlIGSBykTsndNanYovSM/15Uqn7UaxRZD6YOMW7g4Telgbsby45BXyArUnHyHYHKHkrUmoqTZuTQQKydvMDgVgSLcgmQRVOa5qgaIxTdy3tpneC3v0aPbJlyR1uiKf7PMpQMGj5K47vMP8mYse0Wk2iYLZ7kUbBq3mFUB0qymqQ4GaecFub/5atj+G5S5rlmwh09r8k7KniLka06+IxB1oBQ+qQLdR5O3+clX1UHjDcqYysn7avImDbSMhtjfIAz3NzA+nH8otqzJF230AXFKzLfjlNXo9DwI+4gcZ4qTN/iGq/EkLpR2SqeagakMCGY/c9kFUl9Frbsmm9YMkCcVVYqTL+jK7LtBWczJJ0cJLylOvqf85E17Q+sdKtH+Ii3E4divlJAXPvelOXl1D5PEhdI93thgGP1t2jTKF0SEL/7SC7BhasQp/bIePbptwiccUM1+8oRkYy7AvuYibxB18RQiokrqqQwCKQ+6kBbFIISaye9d7lep5x6GcDGDYnBvP+KtZBGcH2T6xYWTj/3kpWe+9qNOoqeEvGnqpTfmRDtPv6tD1/r7JE2+igq2uVCW2oWyIvfOs9ZOOKdfll9O/OR9Da/8WnTaLoMIMNk2koNNHGeAlO8pFJDsllg4y6Vg07gJ8gZl+uxQ7Vdm7xrycml12dDNlHeguC1Gdol02RpBRJ/ehdIr2Y6ht+gaw9SLoC57192hXASD0FRlw2sV9atrfUWEvDDeivZXlVHYFVV4isgC1kfopQ+vKP7N8oALcCGscNXagJJFxQC8zWV54LS7ntJ5MLuDyn7yae8a+T27n73PoF9sgzJ+LepVpS6SzK8Hfb2NCLtUNPmeEvLJ3tDJM93IleUZoEPX+mUXykoqWNP64m0NCqx4TTj59i6yIYuw8EEgdfQiB3kXnban41I3KNM1V/482sfFUkVy+7Iq+2h/PaXyQLKQVL8zzclH3yz701PyXF2Xkiz0cqlL2eDtq8lXshjKIDPSeUT0fvKMFUi3U+gtIW/SzknlqXVOPsvNS9f648VQGR3YBwknz/Mx6LFnjJ5HXZNvF9dbhSYfBMUMkYFEn5VJX4SVvZRsswpXTT6L0qvCWF0Wdk2cJC6eX02GbSLz8yDw0+RdFo+ZwgDFZ3Byn3HacjzW5JNnS4mT7ykhL2BzoQwo2zPAFo/JhbIqTl40NHkxlO+KV1mTL7r9alEEBCw0y2mlRXn9NCdfLH0Rlzx955RcWpPPPcjbQREQPHTZPJeBbXAW1Blg8q6x9SvzTMBpgzJAWgzllnd9/Yq/kE+EtpDbWVHYOPml4l3TU0I+blzSM8ULwPQsk4vjV6H19zXyp+I+ULSYoAQnL2mg7XbNUzp7wVZPBeOokpMHqX7yzTBMaahAcuRcFt/Ow2dz8h13oST7YiYhylKcfKC+ZyoL32/j6fmVRdIvC3Ly8WIoR05eOpdCgNNLS0PK95SQF3WgbpiUaBbJYg43zTGt9SdcXhWdM+HTEXHyRQ7yrv6MVx+onHxBuoaK8fppI3qh5OO4uH87hy6kE+GdfeScTCW4LIbqKCefLCxRnjNtVmjalpvTNekZnEzjOBteQz/NWO6HWvad4LtBmYmT95l5dBo9JeRd/Xl9tI1A6gyyC2V1mnyyp7c4iWmw34eTJ4CZOPny+XNNX9/ArUwcPoOT634yrnngK1XFYKlruPyadw6BiyZfxcBYFpmcPFPfNfnTB0TGhWEEv5lVscVQUb4Ku1ByuLpQJvQOMz7vdvSYkOdXteiTDcrEc0XbyCkBEx2he14UBV+Ak5yic976SXz41Wfi0pOnneOQKR+gutW47ulX4SdfbC+XtAGuWPoAbxsMTKK9QlV4OQ4oFOcpNP4u0uo0XWP1c5eUGr1NQbFR5LtWurg7Ja6rHpy8RtP5lqAstOOsOgh5RZNfQpx8Ty2GMh0AIGvi4rnqVpldU7LWVbkmHwBhM6F/GgHhZy/f7BUHQd1P3uXEqyqhTtuLpck5+Sa/9+iy6W0NymnygjYA0nYX3fBqS8mVk3cx/LcSNlpF1uTTWzyo75lXvJJXGxRGaObBcYvXXDxjjGlKQpsZZv/pBNX0xH2Z4ybbiZ7U5NPcoardcsHtJphko2BrvGvKnfWZ+Jir2lc7Da/6Qc/+cSRrEYpw8lXMXoQGa+fk+dVlP/k4fIYvfae9a+TZBGkaerJBmd3Oo+4+KsVLbhSInBOhpPhy8kVnQ/K2BswgM+zvJ89Cls8CdAuWSDbdYFoBZ+IefQxf8rQ0XgxV0VSN72GSpFM0DtkVrN0GvaI+7kocRIVmA/rugGUGtsi0oVAUuuYqnhPZB+XYd59lUzrdQNeYBhphmwCk2aHRVdK2d43/BmWA3/m+4jUfWkgNn2jyXpy8tHuNz8yj0+gpIR8zh7ZpZdQaZAom3/CahI/PeG1WU8FBBVSHbLgCqqEu/NKXbRbF4yjFyVdAfYhZVUxVaJ1Y5toz3e3iwSC0DwQedGGrYKNVZG+05NzgtEcRr7O0d4086Lt8mszJuxtedU3eKZgUnl/l+s7W5JNBQYB5zDw6jZ4S8jaNTl/+rHay7DgJ5sVQVdRvFdwsnx4ns5iqfPjd06fCW74mcciG8OKcfFnvGpmj1V0gVa49Kx5+XWxmuFB6rgptBdQyV58nAx2/mupGNbxKgwT89uWRHQdcqy+mxBwEtAkmTT6Tko9+Sy+GWhpSvqeEfOz2Kz0LgvTKOFsDNUGe1spbDVfDyZfXvBNOnv9dlb3APf38Pdbz0AjM7nguaQPJIF4GRCpHy2kZlYYAxCCar/V1/2IoMp7xqnDyqbUXavg8Gsfl27ifvN8GZQldk71mwQZ5fYXbBmX8qnPyS0PE96iQlzUOApk1eUft08SfhjnanDuq2MGRlP3kOZ1QRd7cUMXCnqJxyPUB+M0CdMiHiQMmTp5fmxkauvJexmyPzw47u0FZQHYbln7Gq+k4vyAwb2tNEo3jSteIlcauRZHM4JI4fGBaDJUVhclPvl7x2iGYjChyYxaVpQru7DjlY9KEC2WeNueKgMofeGHi5NvZ+GQ6q4xdwdXbSUlbUCMVUB8BCcMr/5sLaZWrFmllan3In+3JHlud0gdtfvKyC2WWJm8P77viVd3awzXvQPmthhng6F2T0DsxPGYenUZPCnl10UZakydypwdkIaZw8hXUr69PsTF/hEwNtNWwGeB8YHPHyw2HpD5EXoqCkAgNwMTJI07LZWq/2MzYoMxTELYCVk5dpmuiZ6bVuTaDu69ROYjbr89iKJGv/J1kzWkmmrkTJx9d6w3KugCiCpTCN3DGPp0siDhDoAV+8p6eCNb8SdPOdnPyRPK0vbgmXySOlJ98odRFXLJ2zQW+mZMPnab23c7Jg8zOB6oLZUTbWPzhTbMvfxfKaIMyD81Y16z9vWvETABenLysyXM/+aUh5XtLyBsqTOYYZT95V4pBNlCphtfy+bUZr3wQd0qFZmgffMqy6jhigeqyajEHsuugiFPXUIF8Vz8RZjHMXgxV1u20LGxUoaBPgGTFax6toytV3huUMT/NODG8Fmt3idB2c6GMz6FIrXhdGugpIW865YWQXtnns/hG9h5pxRmvZU8IkjlNoLp9dVyhLoYqGEdBw2u6sxdLX8S1KKlqi02Nk1cEvj2eRJO3+9PLaXXDBmXpk6H4fVqTV7l3AX1DwFZvUKbXu28Rypq56+pcuVwAlFql3m70lJBP6JpsjYPIvYHI78ZnvDbDSuxlBKlDFJRQfJMzlZNvZ9tTOfmC32CZ+ueHk+qjRPo8rMrJ67YNUt7N1voAdcBIv9MNK17N5SZr8gLxtyjlkaayxH3hDcqc854oWzzPfmWocvIiqzkzeqjlwlBz8h2ByYhiEug+Qt5EJeRN2V2huLGViYNpZ5O2sfWRNIiWsysUi0MY7sqkL/Ig+9vbznjl6WTQNUJLzOHki+6gWBUIUplLz02cvNlPXg6jhvfR5NW+6FYaMk1XpKnHQh7SBmUOu9GmOPlak+cgolcQ0UNEtJ2IPtDKtOIK01zfTPvJ+2xrEO8n35DpmvL5VTp7UT47oJTm1Va6Ruvg7Y7D15vDBpJoOUD4QZvz5ULX5B0aYrpvJ5TZhEZFpf3kzQZW071N+Nvz4V8WMd1S0F1YXQzlljaRundN7V0TgYgaAD4B4JUAzgTwFiI6s1XpJYuhkmdyo6X4mbsHAEnT2qq9a8gjH1n507cub7cLpUCjYMJlhF5RPl+H6rvO69y0d01eHl1cLX0FYSuQxcmLfsQ0Ya/Uk7YVghzedG/Ph/k+CzEnX1DQ+m5Qxn9Xy4UxoNTUsY1otSZ/MYDtjLFHGWPzAD4P4JpWJWZqjLKRSzxXn2XHSRIdkCyGsh8I4YPAIx828L1C9Px0RpMv2uZ1w51f4GJ8vg6druHTcfV3lzzKnHzWBmX6++0G3z8nm5PXd4twEeY6VZqbD2Xg8KRrCm4UKIK4blAmwghqNdH+vZPuCFot5NcB2Cn9vSt6FoOI3k1E24ho2549e0olZj7Im6Rl78kzKf3MOE2Gxeo4+fLTdpmTlp+1C0Wm2zpsnhquYavg5An6YqjQKthd9q7Rw6jvmO/bCRsnL9tYsmhAW72X0eRd60+81izoxpj0Y7fFUCKMKBeTg0c3o+OGV8bY9YyxrYyxrStWrCgXV3TVz5zUN2Ly6WR8kOD3Mh1RhX+zr9ZjgqmhLT1O3qwJ+oYt610je8Twg5rztVVTPHnvKfF2SMpn2Rv0Fa/mMA7PnfIh91VPTb4gbZoYx812PHM+E07e71CUzqPVQn43gA3S3+ujZy0BMxS+anhF9Lu7YCCJDlCEfEWcfNn4TA2tU5x8YT95w6KjIumXqRJ5xgdEK1ul3905+fw67QZN3lZvsqNBliZvp2j8BrAi7UcV8m5hTOG5d41b2iavo9pPnuP7AE4hos1ENADgWgA3tCoxU+ErbooFtF6CzMkHyvOyUDpX0Zow5L+dja8KfrnMQKFTc4Wha/JMNy6SpCRkROMwGKjl1BlBYV/MlD7j1RTGxV7h5l1jjic7EL80C+4EKYK4rngVYXRbxRKR8a09yJsxtkhEvwzgGwAaAD7FGLu/denxa0qTN2xrkPyeHafqPaLGWxZVcfKpZ20k4WxTdR+UKQdFiyyWfJyuvi+9nhfxjqsmb3utGzR5m+cQyXSNVh5qGHOd+Q76RTh5EYavOnULo4aPNHlvTl43vC4NKd9SIQ8AjLGvA/h6q9MBJAOcdghCvN2B4ORleiCnl6lCPpCel8ws0oNRsTgMmnxbvWuqHai8OfmKKDSCanjledGFPNBEHifvQtdUS/sVgU0TFyuoAZWT19u7baDy1cyLlIVuc/NFosmLs1pdHDCQomtqTr4DMK54RXorXB96QI6rryKBksRdnKbICtdeTl6+L5ZwGdtElZy8vhWBHp28mM4ej/leT8t0307Y2p66GIpJz9OzGlNcvm26SB9QaU7/8lO9a9zqwOR1tFQ0+Z4S8kL1UE6GItnFjpQr4MLFSe8G1QgUU9pVCMiycRVBFUK2FF0j35f4bhPFZdNeM/PoMOjp9EgnoJZbcs9XUPN7eczLEvJ2ft6PrvH1k3dNQ4esybuuXCWkF4ctFfSUkLf5yQuYDGf5XFxy36jAyCijCj7blI12Co6qPYS8Da+xdl0oaTmm1BObYHOla2xcQhVlVhZ2TdyyGErLpo2W8a0HlSryR5EwcZqMO0W60JsqJ19r8h2DbcWrQNxJkX5mg8rJl6dX1LiT+yo5+XY2PlULLBaHOkPypWvEtdw3m2kvs5Cv0oWyU3LC5rYquwoyha7Rwlu+01fLpgJ9oKxHV0LXpPcosoeBVC7Js6WAnhLyYrGC1ahkEAj5Qj65FxuUuYRzQcu8a9pK15RPt8yMxkXw+sSjwKK9Zg1mvcDJ64t++HN9wJPjMt+7DPpFZjVlvZPixVDRHjSFOfklIuV7SsjHXJmt0RmFfE6klkZYRd+swvBqmmq2U26Umaob4/CMJA5a8ptNZWbTXrOEgovQqoKmKwtS7km515fvA3mcvBreFsaEIgLb5v7pCpHHkIktoV3STHPy9WKoDsDElZks/z5TREWTr9i7pmotOHnWTrqm3NQZKKeZJYK3UNKpeLKeiTRc9pPPeq8s3VAF7JRm+kQo/R3+t30mYLp3yUcxTd6//MTe8czDuyYgigc9ZrD9dTN6TMjzq82YI+59tE8bJ1/1Yqii0ZmFU9EcFUk/Oy9ucRQvVxMFVwRmTZ60d/IHFJe21Q2LoeyUJufk4+10De/w98y/+dZlEftEWcO16kLpzsnr++zXhtcOwOxdI99HndRj5ariXVOx4bWI0UlH5zl5aRAsPBsp3mmr4uRdaC8XI6/LwO1LabQCKkWWfi4fKQnYy0L/TelbDvkoOhMsU2zyilnXdAOSaax6MVTHYDzcwNDp9BWxWZDfVTT5EvlM8lN+0DD7yRfNkT+q8BQp50IZXYslnZmuXrYumrxNw1XSshy40VbI9WboDyFjTpw8kV1QOxk0lTjzs63HXcSjS/eucUq31uS7A6bzGk2dzqUjmsJXvQtlNVRH+lmnOPmi3gZlvE1cfNed4jHk3bYYyn0/efN73eYnb1qQFDLdu8YcPsvrxpXr9nlfT6fcYigWCXnHfMYbtxk24u9i9JiQ51e57PNWhObVr/yubHjtFk7elI92yo1qvGuSe9+8x5x8yemLKbTdT94ej4uW3hV+8koe0plgSHZoNL2T2ELUcOr5yg75KDirEekUKT4RVhheXW0HS3WDsp4S8qY9JdTpYLqT5vrJSyXUysVQVRgty8ZVLP3y6RY5OEJPs7zh1TBYWtLKyqPbYqgu1uQlTh6K4dUcXi8L320KipZFMsj4l19CSXFB7+oFFAv5mpPvHEzHcpkMTD4Ny8rJV1DBVUzbTcHayslXUCZlTtwi7VoUbpx89G5PLIaS79MCXz4ajz83C3M9++U2KPOha8iYvk/YkDGEoXu6+p4+tSbfAZh2oVSt/aJhuDdEhZOvuHOSg0DIQ+c5eTkvRWcjxeNIOntZTd4Utzkt18VQvi6E7YTdz10IQM27Rgtv5+T9ZmVFqSvxbrlDQ3y2NTCdDOWddEfQU0LedGKLyXPApsWYYPOTr8bw6icQTOi8d035MinD69u44TJ5sD3zNbzaOXmlgXYEeVt/6N41rp5Gvp5SPp5uajrm9F0Qn/IVfaOT4TVIH6ZSr3jtAMwrXpG6DzwEg7riVTr+r4L6rWJRTHdx8sXiKLNqtqWcvFWTz8pP+v0i77Qatj4Sc/KhugulTlHZvFt8N5tzWSFsQhlOXoTz1eTTLpSFkm47ekrImzybTALERzCoLoLm50VRhRZsCtVOuVHFbKSM0Eum7YWSTuIxPNPz4iJYXDTTqk6zKgN7H+FXl6MQ5fdN8baSky9bagTPDcqQyJfau6aDMHnXKJpC/MxdyNs0+WpWvFZAdRgPu2hf46vmdKvicVSlyZvCF9HkXWwUVdhiyiKPk1/UTvFOa+ziaqZxTGFMKDoTFOlWocm7DkZi2KuP/+sgzJx8Al37cGkfNk2+6sVQRaMzC6dO0TXt1+RtXh5l8mDLi4uR14WuqGL2UxZWD7ToVpPxVi+azi2GitIvKMGIfDcok3ehrDn5jsFkEDE1oqKavHoyVKmsWvPmi14wvJbZOtbl3FW3ePKf6TYdE9xcKPPfaTVsCoYoz1xN3lIWygDmIF2KL4YS1zKavM8GZZRaDLU0RHyPCXk+KqvPTALEx/AqGlFAWlwVVLEybS+qkRiedcrwWsVspGOcvHGwNGvyWXl0cSHshg3K1NluOj/NnEPNbbMaEz2anY9is5qyxz5yzRyA44pXomR2Ux/k3UEwpPehIIMQ8tH+5AVUVWtg1ZyP2llNvvozXn3pmmo0eSdO3rCYLiuMiybfKTlhs4OIe13I2wc8Nd72bVCWTs8HxTh5bVuDJSI9l0g23cD3oVCfmVy0inDyAVElAs2WtyoXQ7VzIlmFEbGc4TWdjyIwhXf1KLGFsS3r74YNymx5ELeh5l1jp67sSlUrOfnSMzjy3aBMXvFac/IdA+fXtEZncGlLjDbujTBF9VRQcvViKA4TJ+wetipN3hB3gbR8F0N1TpOX79PtcNFZkzc/53G55KNYWZSdwQVEnhuUUer4v5qu6QQMnLzJI8a2kMME8YZO9VShLVezuZcp3vY1Pt8NqcxxFNfkq6oNM+2lKwzieVY82XG6vtNqKMka8pOiazRJofeLJHw6riwULQsXd9a8dH02KCOS/eTr4/86hpCxlLFLNZZy+DSQlPavafRlULWPefysjbVatrMB5oHYP/3qu5zrKk8ZLnXaDYuhSnPyFj/1dm1QFocv7V3jTivF2xpIz5YCekzIGwxB8n1Mvbjrf7oQqYoeSOWtcGM1xNvGxldFeZShfIQgLvvJLusNnPzkZerJc4OudiLPzVina9LUlXhffe5LQRY1Qpetd7G4iTm6UBIlx/+JQ0PqxVAdgGmJsonzszVQE3RjbZWafBXcrAvN0Er4UF82KLMtzxZZnXdN+pn+yGXW4s/Jd0qTl+/TeQ51Ie/MyZvvbSg6my3PyfsfGqJz8rXhtQMIGUv1TDI0Zi9OXnvXtF1xUSg0ReHdvQzxtrHtuXic5EFZZFYwjrLV4eInrysJJrjMSqryCCoD2wlOohzSdA3Mf1eqybsXSJx8CeUoDD1cKGHg5JeGjO8tIc8M7lCBQYAU4+TVaxUVXMbgaIpDoJ1trwpNvjv85POfuaSlKhW2tKrJcxnYaBJ/P3nzQOjansseGlLGYcFng7KAEj/52rumg+B7Q9t/t/HrWbBx8ZVw8iWNTjyc6Vn7Gl/ZlYdyHDweXyGvXqvIg+1ZwgPbE3PzkxfvemayQtiMvzZO3mZgtS2Gcq3HomtFXGZV2en6L4YSK17r4/86CJOfvKLJa8YaFy8UvUPGjatMRuO8pdPxhcm4194NysoPemXKIW1MLwZTcP2ZGyefzlv6nWryXAYmGpPf86u+1XC6LNJhs57bUNToXrbeiQQnn5YZtvf1/eRrTr4DYCY/ebnTxc/cBZPemGJNpYJhvIo9TORsiJOr2svJ82uZ9l7Ku6aC9G3p2rVXN03e9lY3aPIKJy8/F5x8M0/Im4Vs/P2O31a23ZehObl3jVtW471uUG813FGYLOUmjUUX9lloLSefzpsv5O9teAxeVSGoYNBT/eT9wrZyxatNYcjKo01DVuMR7bBzUsLOybvRNbay8BW+LuVlQhXeNUU5+fr4vw6CMWZ1ewNkmoaUv7OgN6bWcfLF4jBq8m2s1UQrLV4eXcHJGwSuzdiY1bmdFkN1gSYve0WZFgzqe9e4zmp8B11FyBdot0WLUOHkXbZEJtlPXjwrmHib0WNC3tC4TJq8h2DStf6YtimVUxGnlE4Fmnyfza+thfDxVMqLAyjAyVfk0moMbtVSs9PKe6/KBXVFYesDQuClthq20DVpw6s5XhuKUnWl7Rrkt0GZeB84wVa8EtGbiOh+IgqJaKv22weJaDsRPURELy+XTTeYLOVZXKvvYg3+tz1eX1TjQindd4KTd/A4yY2DRBz+8cTpF05d5CFfk3f1JMpbO1DF2oKysCkrup98noHVvirYLR9F+0Cy7bN7GD1d/w3K+H14gvnJ3wfgDQBukh8S0ZkArgVwFoBXAPgkETVKppULU4WZeG8fD4CEc1bjq2TFawXHCZo0+Y5w8hVo8kXy3cqToax8c87H5n2PazythF14878FJ28z5tvq3d+7Jrn3WwxVbqAMiNMurhuUySteWWx4XRpSvpSQZ4z9kDH2kOGnawB8njE2xxh7DMB2ABeXScspP0jvQ5G11bDPirwiPvZ5qNpPvhPeNVUI2WR25B9WH4SLwkWTd9VSE9tPdlqdFBK2bxF1EKaEvNuM1nfdRPHFUP5h1PDckMoc41A4ecNZ0t2MVnHy6wDslP7eFT1LgYjeTUTbiGjbnj17SiVq3rtGSUu5utE1Ih5dyJfKKo/DkI53HFJA0SHb6ycvrmXomuL5FiFaocnrj1yFc673TIWzwaJw1eT7opHKzsnbBsICmrxTCCjxl5kBC8OrSwwEiZNfYite+/JeIKIbAaw2/HQdY+yrZTPAGLsewPUAsHXrVpbzeiaMh/IaOD8fwWDXeMpXcBn/8CRcOr5O0DVlkixD+VQlKF1WvLrOOPLcbJP66aCQsNSb+Lup+YLbaFDbTKDVmnzZIhT0Sxi6DUhk4OSXindNrpBnjF1VIN7dADZIf6+PnrUUrpp8EcOrjZsvg2oMr0nAvkZ1swxXiKQaJQqkzGygqoFNX15v2mfcV5PP5eS7UJMXs480XaOFz6FxCmnyHuVRtt4pqmPXbQ1kTr4+/o/jBgDXEtEgEW0GcAqA21uUVgyTJm8y0Ni0ExNs2n8lu1AatHBfyMGWLidfPI4q9s7R0xYUhc2omFf3Nr5aT6ubOfnE8Boo7wskK7/N8brWh6LoeFRiFStefRdDJbtQ8uvSEPElhTwRvZ6IdgF4AYB/IaJvAABj7H4AXwDwAIB/A/AexlizbGbzYFqibNJYfFwNW8rJS5EU5uQhC6f2C48qVgAntgT/sHkC1Tkeh/w4u1DmtC9X2qeVsHLy0Q/NaMWPrU3pSk/83HMAMylfTuGE8uYeREvXbzEU1/xVTb5nOPksMMa+AuArlt8+AuAjZeL3zg8MWw0H6cbgM6XUhbqtcRdBFYuhTG6YS3WDsmJ0Db+W/WQXA7brgJJXD52oJx02F8S0Jm97z/wN/i6UZLzPQ9nBXdAvDO6cvK7JLxUh31MrXsMwf4os3xfh5KvUwqqgGgKDcOrEYqgqvqFIn6lKYOqcvBx3Ki3HuGxZittQB3ufTUiKctQ5eavhVYvXV/DJ7/uELFvvAXFDqqt3Df9enZMvlHTb0VtC3sDJx41I1prF1YOTT4RZdZRINe6HyX0n6Jpq/eT946iKk1cWlTWyOfk87jivTHJdLNsAm6KTdqHMfs9eRm75kIvIazFUyRlcQP4blKU0+SXiXtNTQt409TJp3l6aPNQOW6UArWa1polmKJMrP1ShSZdxoayKkzctKrNTFG5x2b6nK7xrLNtRiL/iw6o9F0MBfm26KCdfps0AvF8ne9c4vE9pTn5piPheE/LGvWv41XSmpdsILsL7h3WOuxTVkdx3djFUmTiK57sqTl6hvSyDr+ugnKcQdMUGZRbDpciT8JPvyx3wSHuu/p6HTnHyXGgLF0pHTT6sj//rOPjeNeoz04jvo5UHmuCsih7wzUdeHECnDg2p4hvUa5H0Sw9sDoOlaz51hUBHlR5aRWHn5Pk1vXeNVhYWW4zvtxUX8uXKkHPyPouhkt0n6+P/OgjTQd4CamPiV5cGotM9rrysC8pOOeU4ANm/u32tz0SH+cdRfKCoikZTyrFhrhfXtPI5+XSa7UYeJy9OhsrfoMwm/F01+eSePKSRz1oXY/hA9pJxSU9e8Vou7Xajp4S8eRdKjW+BnWc0wcbJV1G9VVA/ctBOavJVbDVclQG6bPiGpY5dBUvCd5t/r5LyKwor3SL2k9d8wXUjsW0xlO95C6YDS1xQVkHihlRm3grFAIK8d02tyXcMJncoU4cSd67LmeXw5NjRXZDEVT4OoFOcfHWzkSLZrmrQVXYrFYOl9lG++8nncfLdQNfY6M2m7l2TWtkqwpuVqmKGVw+6Jr4WK0RlMZQjbRsbXsN6W4OOwoUj9KEHbMK9GsOrWZgUiUO+b2fbq0YLL0PXlE9fjgeQjY3FBFhePVRmRygBW7mJv5q5fvLmsoiFr+OnleXki3vXwOvQEKKE3klOhiqWdrvRU0LeNCqbNHmfTqZrPFW6v1VteF36fvL+YXXDePE8JOHtPDSMz9NxiffML3aDC6VNSOonQ/mWhW+bVjh5j/IozckTp3fdDw2pOfmuALeUq89MHKFPJ0vvXFmdtlxFZ1foGovBsJWoxA20xOAkQpRfDJXcx9qrRgW4Dih5gq4Vay58YTWcRn+mhbyuPGWHd10MVdaFsmgRJpy8q22u5uS7AvxkKHOjM+1b7eMnr3O/VZ4MVSYuRTh1QHhU6UJZJIqq+G0XV9Q8DT2JS73qKDNzqQqUuuGwcvIWusamVBXj5J2CKPEX95PnmrmPJr9UNyjrKSHPR2X1WeIdIz3z0Db0xlylFlblQiLAziW3EiL9cvvJFy/TVnDytsHS1cicRwd2BSdvcXUUf+dvUGYLj+h9t28rqsmX965BrMm7bm8iuPj6+L8OgjGWnmIbtEQfDdrmXVOFFlYFn610kg64UJadNsthy/jJl+fkpTg9BVs6ruzZRTIb9M1ldbBz8vwqXCit1JUlvGnX18x8GNL2CVjJBmUOUciaf70LZQfBWFo7NwkQL+1Pa8xVCLVC+bBADtnn2cGqQBUzm0aOUMxCVfUhC+Y898C8tPLqtYwNoirEA03K/51f8xZD2QZm8ZeroqG4NhfQ5IsWIZHfBmXiFTEwlEm73egpIW/2rkkLPp+pnt7hq6VryjVUPR82/+5WooqZTZkyrfpkqIDI2j78966x/Y7M39sBW9uLOXmNd9bblG0GVZST9y2LsgpSYnh15+QBMTDUnHzHILgyGabG6EMP6B22Sj61DE0RxyHVYCc5+Ur85Au0xqo4eVkDzfMBz8tnXp6qMLiXhd27JhJmmuFVz6pNOPvWBxFFsye/siDt6guiRCv3ccBgkDj5gmm3Gz0l5BnsHVPhXD00aF2Tr5KTL2s8kuMAOrWtAb+W8hAS2wAU6DZVzazkwdtGASUeVtlp5XHyVdR7WdhcHcXzvDNe82YCPtUhz558wpjy5ROeIToy1ImuSTT52rumgzBuNWzwInDtrPI7KWFfwThexaxADtkJF8oqT7cqEkdVXxoLdtg1bVdXz1xOvqLZRynE32umW9IulFpwyzcUEb4B+VOWZdud8K5hBo88c3r8yo2v6rNuR08JeW4p1zX5dGPwWwwl3lXjqca7Rr0WQae9a6oQWGVmA1UZMeV6tq7mdEwrT5vVN73rBKzeMbEmzw/yTrxl3IR5kTYtz57cw+g3fpA5ebcZPX9JeNgQdZZu80FPCXnTqEwGAVKMk1evXcPJSwIp0Ubb1/jK8OmpOIpo8hUNunIe8gSYu+HV/F4Vg3tZ5BlOIxmfe/yfnat3/zjyfF/OT+F6J/6Nvpy8zyrZbkFPCXnTwgYTP2rbJtWE+B2tUXUbJy/zmu1sf5VQTiUGO5v3R+F4sjR51/rKaSNVKgpFYf9Gfk35yVuoK1euPjsvHeLkvRZDRYOf0P4LpdoZ9JSQZ4bCj6kA5Zl7J0tPravroFUYDWWtsBNcbxWzkVIulNq1KOTqJTLH6kor5b1nO1WpnTDNcOW/806GsnHi7ePko6tfMCXNxE3UPVzIzA4e3YweE/JuhqBinLx/2DxU4ZkiD1hVUCfe6VdgBygzA6lKK5YHSNKe6WnlfWueoKvKI6gM7EKaX3UXSldXySL9o4gmn8zGi2vyzTC5d3kfAOCxSrZb0FNC3lT4SYeVhbx7J7Nx8lV00Go8U5JrJw6IrtLwWkiTr2zQTerCzsm7lW/eYNBdi6HMSpHQ5G0L7PI4fS9OnvzLovzMjSRXyPz3ZU7edZVst6DnhLytY6qcPL/6CPk4TM7Rbj6oguqQO1UVMwNfVGEH8LGR2NIv2+nkgSamUyw+5Hn5TKgEW56qmX2UQZ7doRlZXvssEjDPO8eLkw/IuyzKc/LAYqTKO3Hy0YeFjCEM3VbJdgt6Ssgz2K39qneNu2DSBTG1hJMvFw9R5N8t8lYyX75pA9UI2TKafNnqkAcr21oIV2oob+Az2YnajaSt6EoRvwo/eV9PoyKreQn+faDsbIgo+UYnORBd+ZGBS8d9Eug1IZ9xkDcpz9TfsqB3yOrogWo4eR4PKZp8e+maagaqgPy1OTn9qnahlG0bepSu5Zto/HlacOcEhT4z1Z+Lpft5LpR2rt49L0Xqvuw5AgFRQkk5RCLSY9G/JSTje0vImzYbMk2xfQSTbWOyKjpodQIy4jU7shiqKrqECuW7Kn5b9ZNXnwm42lDyOfno9w72Plu9JZw8pzKS08a092La0hzej5P3r/uyM0huePXh5CMhz8wOHt2MnhLypsI38aNFOHnd7a1bOHkeD0W8ZvJ3u5CntbqCCtM11Qwycl2ImFw8tYrkqRP1pCNPSMdbDVtnNX40TmZeCtR92RkcUXqnzez0+NVn58puQU8JedMiBZP25dNAEppGDVPl3jWlBRQEr9l+Tb6qrX4bQTFNPhnEy0HekjqPrsmrrrz3umM/+eR7ZdgWQ7m6ShYxxBdyodSuvgiIpD1oHORALOTN26d0M3pKyJs4eV1IA37C0KbBV7nitWx76SwnX02aZTn58ite+ZWkfLhqr9Y8Wd7rDhdKcx7cNygzl3sRxaXIYqiy1KSq9OW/H3Py8bYGxdLtBHpMyJs4+XSH9ZlSWjn5CmrZRgv4QvjIJ54/JTPmlXZFsxEq1nGqos9kWs7OyZufp+KKt042oxNeUKk8ZNQbUSLk7dsamNsaFaiPMhuUFe2Hiredw/s6J19r8h0Cd21Sn5k6po8mpXvnVKmFJQ21XDxCi6+K4/dNG6huNuKLyjh5Qz7snHy5PHVixmXLg0lYKUZJzxWvRdogH+D9yqLsQCkn5zJQqIuhak6+YzAthjK5UPr48oo30lx8BZo8FTsVJx2R2lHaKTuqGlgK+8lr16JQOHnLgrdES83R5HOEfDecDJXlghhQmq5x2cKb/+3fBosM8GXdj+X0inDytXdNh8AXQ+VrFj4UQ5qmEc9LZlaKfyn7ySflWy6egKiQpK7OhVOOr5wAiwWQpXd1MycP8D6UdzJUPOA57jOflxdvTr5kvfty8gldE+1cWSjVzqC3hLxx75q4Ncbw4XH1zlD1/jBBMdmWiiMg6ojXRnWcfDG6pqptJmTN1qYlOnPyuXRN++vJJw+yJt+wKDXxYSKpgdD8fl5evOkajz5sS9N0b0+PvxOeaJw8EX2MiB4konuJ6CtENCn99kEi2k5EDxHRy0vn1AEmq7ep0fl41+heBFVry0UWgugIItqnKndG37SB8o1eXoRUJP0qNfnynDwy39NnhZ1A1oAVEEkulLYzXs3h27ZBWcm2rnrb5b8v3mGCk19C6nHZrH4LwNmMsXMBPAzggwBARGcCuBbAWQBeAeCTRNQomVYuWMYGZWYvApcRXLtW7MFClrx5xRFNdyn+u52avHotHk8xTV6gJZq89o7rgGLbF0Z6Qb9pO4gsHxk9Ytq2Bvp7tgGviLeT7BnmivKcvJS+x1nPJxwnzxj7JmNsMfrzVgDro/trAHyeMTbHGHsMwHYAF5dJywUmrszU6Ipw8ukDvUtlVYm//L4rpAjJdra/quirIrysnG4VA6WIx/ZNlS2GqmhgLIOsGamL/Sour0B/7j+zK1L3pb1rDCvgsxBr8jixj/97F4B/je7XAdgp/bYrepYCEb2biLYR0bY9e/aUyoDxIG9DI/UxnraDky+vBQtNWPzd3gb4qnPX4KJNy0vF8bKzVuPSk2e8w/lQby7xyD7bejGetXYCF2+awoapEcc8mTPVXZx8+jc5W7bFUMtHBnDFqStw3vpJLV4Y38/LS1HvmmoMry4z+kiTD80r67sZfXkvENGNAFYbfrqOMfbV6J3rACwC+IxvBhhj1wO4HgC2bt3KfMOrkdk1Dhk+nayVG5SJeMprwaorZrs1xE/81IWl4/jt155VKFzZabseT0D2Op6dHsEXfvEF+XHlKBGdqicZmZy8lDHbBmX9jQB//6705LxI/+B7Lzm/ruSxKDcuf6PTWc/R6yFjxi3Nuxm5Qp4xdlXW70T0DgCvBvASxgSTh90ANkivrY+etRSmk6FMjc6HctGNaDYtryiIyhvgSPyvSOAtJVRVH7KtpSwltxQ2KMuiO+R82zYos8ZbQMMuukYCcOPTjeEKavJ8xesJxMkT0SsA/DqA1zLGjko/3QDgWiIaJKLNAE4BcHuZtFxg8q4RfyqGliKcvKZ9VeYnH1TPyS+l1Xhl0YpdKKvywbZz8t1A1/CrecVrcm/boMwer9+gIML49oGy9if5e1zSVjj5cGlx8rmafA7+AsAggG9FBXUrY+wXGWP3E9EXADwATuO8hzHWLJlWLhgyVrwajUn5cercX1Uug3JeStM1QRRPTBMsnQZYFq3h5MvFqbu0pn9Xr51AdrlJmnxBIe+vyTu/HofxTccUXr+3v89fSnahLJRsR1BKyDPGtmT89hEAHykTvy9ChtT8U6dbIL3itmeF2hmqNrwSqhFQRNW7dy4FVMXJy+2kiiXzWSGzthRoF/IWQwkkG5S5xUva1S2QP+lSlqZTvGtcXCijV0Kx4nUJdbIl5NKfD7OffHwXPyuijeuNqqoqLrrSU4kDqlfIiaTJV1UfiatsBQKEsuugU15QCjK+0exC6Rit+DYPzaUIJ1+W8lI5eZf3+Uvc7FhvUNYxMOOK13QjNWn3Ntg5+aromvIanXCf7ISffKdRpZ++iKc8J589cHfDBmUunHyRWY1QNnw5ed+yroJS0+PKfp9fGcMJ7SffcXD/VbMmr4zcHjyjznNXLUir4OSF5tgNBr12I/7msh5KUtmVFyBuC6a6lZOXy6IYx+7Xposthkrf+aAoJ3/bY/uw9/DcktLkyxpeuwoMWZp88sPEcD8mR/qxYXn2ohY1PP/bdiJOUWycHsFszuKaPAhNfsPUMEYHGlixbLCSvC0FVDmzEhpo2Thnp0excTq7TjdNj5au9zLIEt79jUSRWTU+hJGBBtZNDjvH7dumN06PeovqssbrNdH3EAErx4dy3xfF9LFvPAQAOG/DZLGEO4CeEfJ846D01Ev8JTfmscE+3P2bL3OKVw9P2vOy+J+/kL+4Jg8UEcnnrp/E/f/tFeUztYRQxVm7AvqisqJ42yUb8bZLNma+8533vbhUGmWRZXdYNtQf/UZYPTGEBzzb1Hd+7cVe7//Rm87zeh/wm42b8PKzVuPu33wpgoAwHn1vFtJbKhdKtiPoISHPr3qdZ23E5ALdE6IbKRGhyZ+IqFSTh1qWVc3WuhFZRvqJ4f7ot3bmyA+xslUij5MjA87v6mWx67ljxRNuM3qGkxdLbdN+8ubnrki7TqrPuwFVeOgsVVTp0iq45E5s2dxuZNmWJkYiTb6Ld2ip2pU5D/qAv+fQXFvSrQI9I+TDSJVPrXjVaBZf6Jx8clhC93SAThvxOokqB13ByWdpub2CrBnpUtDk2+1J1s1lkYeeoWuEkE+fKq9efWHr8N3U/4m6W+tqJapcWMQFvLRlc/kouxZZtiUh5LtJkdGR2BTalccknT9/ywXxIrGlgJ4R8lZOPl4FWpSu0Wma7uTkuyg7bUVVK155XKTMirpZyJVFrLwYhJUQ8scXWr4TSWG0mzaV03nNeWvbk2hF6Bm6Rgh5m8ZdtL/qGkPNyXcXWsHJnwgbvWUtWhJCXhzm3Y1oOycfpePjStot6BkhH9M12vOyrla65l71BmVVIKDyi4GWKirl5CEW5nTfbK0VsC1aEkK+m5FFN7UCh47zA/DWL196Qr536JromtLktasvRgYa6AsobvgTw/0Y6g8w2Nc9UnViuB8jAy0/QrcrMS7VS1nwpsPrerAvwGB/99RxKzAx3G8st6Ug5NutbC0b4qLy5WeZzk/qbvSMkE8Mr+rzshz65MgAvvXeF2FDNIK/7oJ1uOSkaQz1d49Q/fibzut5rdOGk1eM4cb3vggnrxgtHVcQcE7+mvPX4nmblmNkoGe6hxE3/PJlmB5Nr45eEkLe4wjPKnDehsnK2lm70TOtmIX8mj7jVb0WweaZpGIH+gLM5ixZbzemx06cbQxM2LJyrJJ4OF1D6G8E2Di99DqzL9ZbtvVYCkK+rENFEVTVztqNnpmPMtj85MX1xNR0a7hDPnjlRMb4UhDyXegA0a3omSYd2rxr0PueEjWqARGdsOsNZCwb7P4Jfjc6QHQrekjI2zh5GJ/XqKHD5lJ4omEp7NlTBQ17oqBnhHyyGEpf8XpiuMPVKI8iJxTV6Azqfu2OHhLyOZx8m/NTY+nhRF45vNTQjYsSuxU9I+QFJ58+Garm7mq4QXjX1FgKEPsL1fWVh54R8s08Tb5uCzVyMNAXYKDRM12ipyEWIw500aLEbkX3m9Ed8dSB4wD4cWUyau6uhis+/ubzsGIs/yi4EwHffd+Lse/IfKezYcXlp8zgz99yAU5dtTR919uJnhHyO/cdBQBs0M6WrLm7Gq64aONUp7PQNdg8M6osAuw29DeCJbcbZKfQM3OdHZGQ1zcQ6sTKuBo1atToFvSUkF89PpTaU6bm5GvUqHEio6eE/OxUei+OxIWylvI1atQ48dAzQn7nvqMpPh5In+xUo0aNGicSekLIH19o4qmDx82avLjWQr5GjRonIHpCyO/efwyMAbPT6VNbahfKGjVqnMjoCSEvPGsyOflayNeoUeMERE/4yS8b7MPLzlxlPOiBiHDd1WfgRaet6EDOatSoUaOz6Akhv3XTFLZusi9k+fkrTmpjbmrUqFGje9ATdE2NGjVq1DCjFvI1atSo0cOohXyNGjVq9DBqIV+jRo0aPYxSQp6IfpeI7iWiu4nom0S0NnpORPRnRLQ9+v3CarJbo0aNGjV8UFaT/xhj7FzG2PkAvgbgN6PnrwRwSvT/3QD+smQ6NWrUqFGjAEoJecbYQenPUQDRIXy4BsDfM45bAUwS0ZoyadWoUaNGDX+U9pMnoo8AeDuAAwCujB6vA7BTem1X9OxJQ/h3g2v7mJ2dLZudGjVq1KghgRhj2S8Q3QhgteGn6xhjX5Xe+yCAIcbYbxHR1wB8lDF2c/TbtwH8BmNsW05aewA87vkNAjMA9hYMu5RxIn53/c0nBupvdsdGxphxWX+uJs8Yu8oxkc8A+DqA3wKwG8AG6bf10bO8tArvPUBE2xhjW4uGX6o4Eb+7/uYTA/U3V4Oy3jWnSH9eA+DB6P4GAG+PvGwuAXCAMZaiamrUqFGjRmtRlpP/KBGdBiAEp1l+MXr+dQBXA9gO4CiAd5ZMp0aNGjVqFEApIc8Ye6PlOQPwnjJxF8D1bU6vW3Aifnf9zScG6m+uALmG1xo1atSosXRRb2tQo0aNGj2MWsjXqFGjRg+jJ4Q8Eb2CiB6K9sr5QKfz0yoQ0Y+J6AfRXkHbomdTRPQtIvpRdF3e6XyWARF9ioieIaL7pGfGb+yVPZIs3/zbRLQ7quu7iehq6bcPRt/8EBG9vDO5Lgci2kBE3yWiB4jofiL6leh5z9Z1xje3tq4ZY0v6P4AGgEcAnARgAMA9AM7sdL5a9K0/BjCjPftDAB+I7j8A4A86nc+S33gFgAsB3Jf3jeAeXP8KgABcAuC2Tue/wm/+bQDvM7x7ZtTGBwFsjtp+o9PfUOCb1wC4MLpfBuDh6Nt6tq4zvrmldd0LmvzFALYzxh5ljM0D+Dy4z/6JgmsAfDq6/zSA13UuK+XBGLsJwD7tse0be2KPJMs323ANgM8zxuYYY4+Buylf3LLMtQiMsScZY3dG94cA/BB865OereuMb7ahkrruBSFv2yenF8EAfJOI7oj2/AGAVSxZaPYUgFWdyVpLYfvGXq/7X46oiU9JNFzPfTMRbQJwAYDbcILUtfbNQAvruheE/ImEyxljF4Jv5fweIrpC/pHxOV5P+8SeCN8Y4S8BnAzgfPCN/T7e0dy0CEQ0BuBLAH6Vqbva9mxdG765pXXdC0K+0D45SxGMsd3R9RkAXwGfuj0tpq3R9ZnO5bBlsH1jz9Y9Y+xpxliTMRYC+Gsk0/Se+WYi6gcXdp9hjH05etzTdW365lbXdS8I+e8DOIWINhPRAIBrwffO6SkQ0SgRLRP3AF4G4D7wb/2Z6LWfAfBVcwxLGrZv7Nk9kjS++fXgdQ3wb76WiAaJaDP4wTy3tzt/ZUFEBOBvAPyQMfbH0k89W9e2b255XXfa4lyR1fpqcEv1I+BbIHc8Ty34xpPALe33ALhffCeAaQDfBvAjADcCmOp0Xkt+5+fAp6wL4Bzkz9q+EdzT4hNRvf8AwNZO57/Cb/6H6JvujTr7Gun966JvfgjAKzud/4LffDk4FXMvgLuj/1f3cl1nfHNL67re1qBGjRo1ehi9QNfUqFGjRg0LaiFfo0aNGj2MWsjXqFGjRg+jFvI1atSo0cOohXyNGjVq9DBqIV+jRo0aPYxayNeoUaNGD+P/AvKOyEdoWZYLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(total_reward[::20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "ef003e99",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 重置环境，开始新的一轮游戏\n",
    "observation, _ = env.reset()\n",
    "# 创建GymHelper对象来辅助显示\n",
    "gym_helper = GymHelper(env, figsize = (3, 3))\n",
    "\n",
    "# 进行10步的游戏\n",
    "for i in range(20):\n",
    "    # 渲染环境，title为当前步骤数\n",
    "    gym_helper.render(title = str(i))\n",
    "    \n",
    "    # 通过已经求得的Q值表，找到当前状态下的最优动作\n",
    "    action = choose_action(observation, Q, 0)\n",
    "    # 执行action，获取新的信息\n",
    "    observation, reward, terminated, truncated, info = env.step(action)\n",
    "        \n",
    "    time.sleep(0.5)\n",
    "    \n",
    "    # 如果游戏结束，则结束当前循环\n",
    "    if terminated or truncated:\n",
    "        break\n",
    "\n",
    "# 游戏结束\n",
    "gym_helper.render(title = \"Finished\")\n",
    "# 关闭环境\n",
    "env.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "f9a8b2ca",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[  7.31312557,  12.15512105, -19.99996568,   7.02086941],\n",
       "       [  0.        ,   0.        ,   0.        ,   0.        ],\n",
       "       [ -5.42      ,  14.52276982,  -9.37118   ,   1.91896097],\n",
       "       [  0.        ,   0.        ,   0.        ,   0.        ],\n",
       "       [  7.25847497,   6.69294033,  13.76078906,   6.82467177],\n",
       "       [  9.54175579, -19.99997498,  15.27069217, -19.99968632],\n",
       "       [ 11.14075441,  17.10519049,  13.58513726,  12.06852183],\n",
       "       [ 14.63001866,  18.7467619 ,  17.23691854, -19.93237216],\n",
       "       [  1.84561896, -13.0264312 , -13.72378808,  10.29342225],\n",
       "       [  0.        ,   0.        ,   0.        ,   0.        ],\n",
       "       [-19.96405979,  18.65066815,  17.36127451,  13.79929647],\n",
       "       [ 14.79410637,  20.        ,  18.66149195,  16.63168851],\n",
       "       [  0.        ,   0.        ,   0.        ,   0.        ],\n",
       "       [  0.        ,   0.        ,   0.        ,   0.        ],\n",
       "       [ -6.878     ,   4.65109752,  19.99334021,   0.        ],\n",
       "       [  0.        ,   0.        ,   0.        ,   0.        ]])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "2512f155",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([['下', '左', '下', '左'],\n",
       "       ['右', '右', '下', '下'],\n",
       "       ['上', '左', '下', '下'],\n",
       "       ['左', '左', '右', '左']], dtype='<U1')"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array([\"左\", \"下\", \"右\", \"上\"])[np.argmax(Q.reshape(4, 4, 4), axis = 2)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bf546f9f",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
